Estimations L2 pour l’opérateur ∂¯ d’un fibré vectoriel holomorphe semi-positif au-dessus d’une variété kählérienne complète
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 15 (1982) no. 3, pp. 457-511. 
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     author = {Demailly, Jean-Pierre},
     title = {Estimations $\mathrm {L}^2$ pour l{\textquoteright}op\'erateur $\bar{\partial }$ d{\textquoteright}un fibr\'e vectoriel holomorphe semi-positif au-dessus d{\textquoteright}une vari\'et\'e k\"ahl\'erienne compl\`ete},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {457--511},
     publisher = {Elsevier},
     volume = {4e s{\'e}rie, 15},
     number = {3},
     year = {1982},
     doi = {10.24033/asens.1434},
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     url = {https://www.numdam.org/articles/10.24033/asens.1434/}
}
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Demailly, Jean-Pierre. Estimations $\mathrm {L}^2$ pour l’opérateur $\bar{\partial }$ d’un fibré vectoriel holomorphe semi-positif au-dessus d’une variété kählérienne complète. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 15 (1982) no. 3, pp. 457-511. doi : 10.24033/asens.1434. https://www.numdam.org/articles/10.24033/asens.1434/

[1] C. A. Berenstein and B. A. Taylor, Interpolation Problems in ℂn with Applications to Harmonic Analysis (à paraître au Journal d'Analyse Math. de Jérusalem).

[2] E. Bombieri, Algebraic Values of Meromorphic Maps (Invent. Math., vol. 10, p. 267-287, 1970 et 11, p. 163-166, 1970). | MR | Zbl

[3] J. Briançon, Sur la clôture intégrale d'un idéal de germes de fonctions holomorphes en un point de ℂn ; preprint de l'Université de Nice, février 1974 (non publié). | MR

[4] J. Briançon et H. Skoda, Sur la clôture intégrale d'un idéal de germes de fonctions holomorphes en un point de ℂn (C. R. Acad. Sc., t. 278, série A, 1974, p. 949-951). | MR | Zbl

[5] J.-P. Demailly, Scindage holomorphe d'un morphisme de fibrés vectoriels semi-positifs avec estimations L2 (à paraître au Séminaire P. Lelong, H. Skoda, 1980-1981). | Zbl

[6] J.-P. Demailly, Relations entre les différentes notions de fibrés et de courants positifs (à paraître au Séminaire P. Lelong, H. Skoda, 1980-1981). | Zbl

[7] J.-P. Demailly et H. Skoda, Relations entre les notions de positivités de P. A. Griffiths et de S. Nakano pour les fibrés vectoriels [Séminaire P. Lelong, H. Skoda (Analyse), 19e année, 1978-1979, Lecture Notes, n° 822, 1980, Springer-Verlag, Berlin, Heidelberg, New York]. | Zbl

[8] K. Diederich und R. P. Pflug, Über Gebiete mit vollständiger Kählermetrik (à paraître aux Math. Annalen). | Zbl

[9] A. Douady et J.-L. Verdier, Séminaire de Géométrie analytique, E.N.S., 1972-1973, Différents aspects de la positivité (Astérisque, 17, 1974, Société Mathématique de France).

[10] H. Grauert, Charakterisierung der Holomorphie-gebiete durch die vollständige kählersche Metrik (Math. Annalen, t. 131, 1956, p. 38-75). | MR | Zbl

[11] R. E. Greene and H. Wu, C∞ Approximation of Convex, Subharmonic, and Plurisubharmonic Functions (Ann. scient. Éc. Norm. Sup., 4e série, t. 12, 1979, p. 47 à 84). | Numdam | MR | Zbl

[12] P. A. Griffiths, Hermitian Differential Geometry, Chern Classes and Positive Vector Bundles ; Global Analysis, Princeton University Press, 1969, p. 185-251. | MR | Zbl

[13] L. Hörmander, L2 Estimates and Existence Theorem for the ∂-Operator (Acta Math., 113, 1965, p. 89-152). | Zbl

[14] L. Hörmander, An Introduction to Complex Analysis, in Several Variables ; Princeton, van Nostrand Company, 1966 ; 2e édition, North-Holland/American Elsevier, 1973. | Zbl

[15] L. Hörmander, Generators for Some Rings of Analytic Functions (Bull. Amer. Math. Soc., vol. 73, 1967, p. 943-949). | MR | Zbl

[16] B. Jennane, Extension d'une fonction définie sur une sous-variété avec contrôle de la croissance [Séminaire P. Lelong-H. Skoda (Analyse), 17e année, 1976-1977, Lecture Notes in Math., n° 694, Springer-Verlag, Berlin, Heidelberg, New York, 1978]. | Zbl

[17] J. J. Kelleher and B. A. Taylor, Finitely Generated Ideals in Rings of Analytic Functions (Math. Ann., band 193, heft 3, 1971). | MR | Zbl

[18] P. Lelong, Fonctionnelles analytiques et fonctions entières (n variables) ; Montréal, les Presses de l'Université de Montréal, 1968 (Séminaire de Mathématiques supérieures, été 1967, n° 28). | Zbl

[19] J. Le Potier, Annulation de la cohomologie à valeurs dans un fibré vectoriel holomorphe positif de rang quelconque (Math. Ann., t. 218, 1975, p. 35-53). | MR | Zbl

[20] S. Nakano, Vanishing Theorems for Weakly 1-Complete Manifolds II (Publ. R.I.M.S., Kyoto University, vol. 10, 1974, p. 101). | MR | Zbl

[21] R. Richberg, Stetige streng pseudokonvexe Funktionen (Math. Ann., t. 175, 1968, p. 257-286). | MR | Zbl

[22] H. Skoda, Application des techniques L2 à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids (Ann. scient. Éc. Norm. Sup., t. 5, fasc. 4, 1972, p. 545-579). | Numdam | MR | Zbl

[23] H. Skoda, Formulation hilbertienne du Nullstellensatz dans les algèbres de fonctions holomorphes ; paru dans l'Analyse harmonique dans le domaine complexe, Lecture Notes in Math., n° 336, Springer-Verlag, Berlin, Heidelberg, New York, 1973. | MR | Zbl

[24] H. Skoda, Morphismes surjectifs et fibrés linéaires semi-positifs [Séminaire P. Lelong-H. Skoda (Analyse), 17e année, 196-77, Lecture Notes in Math., n° 694, Springer-Verlag, Berlin, Heidelberg, New York, 1978]. | MR | Zbl

[25] H. Skoda, Morphismes surjectifs de fibrés vectoriels semi-positifs (Annales scient. Éc. Norm. Sup., 4e série, t. 11, p. 577-611, 1978). | Numdam | MR | Zbl

[26] H. Skoda, Relèvement des sections globales dans les fibrés semi-positifs [Séminaire P. Lelong-H. Skoda (Analyse), 19e année, 1978-1979, Lecture Notes in Math., n° 822, Springer-Verlag, Berlin, Heidelberg, New York, 1980]. | Zbl

[27] H. Skoda, Estimations L2 pour l'opérateur ∂ et applications arithmétiques [Séminaire P. Lelong (Analyse), 16e année, 1975-1976, p. 314-323, Lecture Notes in Math., n° 538, Springer-Verlag, Berlin, Heidelberg, New York, 1977]. | Zbl

[28] H. Skoda, Sous-ensembles analytiques d'ordre fini ou infini dans ℂn (Bull. Soc. Math. Fr., t. 100, 1972, p. 353-408). | Numdam | MR | Zbl

[29] A. Weil, Variétés kählériennes, Hermann, Paris, 1957. | Zbl

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  • Brinkschulte, Judith On the normal bundle of Levi-flat real hypersurfaces, Mathematische Annalen, Volume 375 (2019) no. 1-2, p. 343 | DOI:10.1007/s00208-018-1723-7
  • Ornea, Liviu; Verbitsky, Misha Positivity of LCK Potential, The Journal of Geometric Analysis, Volume 29 (2019) no. 2, p. 1479 | DOI:10.1007/s12220-018-0046-y
  • Biard, Séverine; Fornæss, John; Wu, Jujie Weighted-𝐿² polynomial approximation in ℂ, Transactions of the American Mathematical Society, Volume 373 (2019) no. 2, p. 919 | DOI:10.1090/tran/7935
  • Fu, Siqi; Shaw, Mei-Chi Bounded Plurisubharmonic Exhaustion Functions and Levi-flat Hypersurfaces, Acta Mathematica Sinica, English Series, Volume 34 (2018) no. 8, p. 1269 | DOI:10.1007/s10114-018-7411-4
  • Berman, Robert J. Determinantal Point Processes and Fermions on Polarized Complex Manifolds: Bulk Universality, Algebraic and Analytic Microlocal Analysis, Volume 269 (2018), p. 341 | DOI:10.1007/978-3-030-01588-6_5
  • Ruppenthal, J L2 -Serre Duality on Singular Complex Spaces and Rational Singularities, International Mathematics Research Notices, Volume 2018 (2018) no. 23, p. 7198 | DOI:10.1093/imrn/rnx097
  • Coman, Dan; Marinescu, George; Nguyên, Viêt-Anh Approximation and equidistribution results for pseudo-effective line bundles, Journal de Mathématiques Pures et Appliquées, Volume 115 (2018), p. 218 | DOI:10.1016/j.matpur.2017.09.010
  • Meng, Xiankui; Zhou, Xiangyu Pseudo-effective line bundles over holomorphically convex manifolds, Journal of Algebraic Geometry, Volume 28 (2018) no. 1, p. 169 | DOI:10.1090/jag/714
  • Wang, Xu A remark on the Alexandrov–Fenchel inequality, Journal of Functional Analysis, Volume 274 (2018) no. 7, p. 2061 | DOI:10.1016/j.jfa.2018.01.016
  • Napier, Terrence; Ramachandran, Mohan A cup product lemma for continuous plurisubharmonic functions, Journal of Topology and Analysis, Volume 10 (2018) no. 02, p. 263 | DOI:10.1142/s1793525318500085
  • Zhou, Xiangyu; Zhu, Langfeng Regularization of quasi-plurisubharmonic functions on complex manifolds, Science China Mathematics, Volume 61 (2018) no. 7, p. 1163 | DOI:10.1007/s11425-018-9289-4
  • Ji, Qingchun; Zhu, Ke Solvability of Dirac type equations, Advances in Mathematics, Volume 320 (2017), p. 451 | DOI:10.1016/j.aim.2017.08.040
  • Coman, Dan; Marinescu, George On the first order asymptotics of partial Bergman kernels, Annales de la Faculté des sciences de Toulouse : Mathématiques, Volume 26 (2017) no. 5, p. 1193 | DOI:10.5802/afst.1564
  • Méo, Michel Regularization of closed positive currents and intersection theory, Complex Manifolds, Volume 4 (2017) no. 1, p. 120 | DOI:10.1515/coma-2017-0008
  • Tian, Zhiyu; Xu, Chenyang Finiteness of fundamental groups, Compositio Mathematica, Volume 153 (2017) no. 2, p. 257 | DOI:10.1112/s0010437x16007867
  • Coman, Dan; Ma, Xiaonan; Marinescu, George Equidistribution for sequences of line bundles on normal Kähler spaces, Geometry Topology, Volume 21 (2017) no. 2, p. 923 | DOI:10.2140/gt.2017.21.923
  • Ohsawa, Takeo On the extension of L2 holomorphic functions VIII — a remark on a theorem of Guan and Zhou, International Journal of Mathematics, Volume 28 (2017) no. 09, p. 1740005 | DOI:10.1142/s0129167x17400055
  • Păun, Mihai; Takayama, Shigeharu Positivity of twisted relative pluricanonical bundles and their direct images, Journal of Algebraic Geometry, Volume 27 (2017) no. 2, p. 211 | DOI:10.1090/jag/702
  • Matsumura, Shin-ichi An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities, Journal of Algebraic Geometry, Volume 27 (2017) no. 2, p. 305 | DOI:10.1090/jag/687
  • Cao, JunYan; Demailly, Jean-Pierre; Matsumura, Shin-ichi A general extension theorem for cohomology classes on non reduced analytic subspaces, Science China Mathematics, Volume 60 (2017) no. 6, p. 949 | DOI:10.1007/s11425-017-9066-0
  • Saber, Sayed Sobolev regularity of the Bergman projection on certain pseudoconvex domains, Transactions of A. Razmadze Mathematical Institute, Volume 171 (2017) no. 1, p. 90 | DOI:10.1016/j.trmi.2016.10.004
  • Campana, Frédéric; Păun, Mihai Positivity properties of the bundle of logarithmic tensors on compact Kähler manifolds, Compositio Mathematica, Volume 152 (2016) no. 11, p. 2350 | DOI:10.1112/s0010437x16007442
  • Coman, Dan; Marinescu, George; Nguyên, Viêt-Anh Hölder Singular Metrics on Big Line Bundles and Equidistribution, International Mathematics Research Notices, Volume 2016 (2016) no. 16, p. 5048 | DOI:10.1093/imrn/rnv303
  • Lu, Zhiqin; Zelditch, Steve Szegő kernels and Poincaré series, Journal d'Analyse Mathématique, Volume 130 (2016) no. 1, p. 167 | DOI:10.1007/s11854-016-0033-9
  • Dinh, Tien-Cuong; Ma, Xiaonan; Marinescu, George Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian line bundles, Journal of Functional Analysis, Volume 271 (2016) no. 11, p. 3082 | DOI:10.1016/j.jfa.2016.09.007
  • Bayraktar, Turgay Asymptotic normality of linear statistics of zeros of random polynomials, Proceedings of the American Mathematical Society, Volume 145 (2016) no. 7, p. 2917 | DOI:10.1090/proc/13441
  • Yuan, Yuan; Zhu, Junyan Holomorphic Line Bundles over a Tower of Coverings, The Journal of Geometric Analysis, Volume 26 (2016) no. 3, p. 2013 | DOI:10.1007/s12220-015-9617-3
  • Matsumura, Shin-ichi A Nadel vanishing theorem for metrics with minimal singularities on big line bundles, Advances in Mathematics, Volume 280 (2015), p. 188 | DOI:10.1016/j.aim.2015.03.019
  • Guan, Qi'an; Zhou, Xiangyu A solution of an L^2 extension problem with an optimal estimate and applications, Annals of Mathematics (2015), p. 1139 | DOI:10.4007/annals.2015.181.3.6
  • Raufi, Hossein Singular hermitian metrics on holomorphic vector bundles, Arkiv för Matematik, Volume 53 (2015) no. 2, p. 359 | DOI:10.1007/s11512-015-0212-4
  • Matsumura, Shin-ichi Injectivity Theorems with Multiplier Ideal Sheaves and Their Applications, Complex Analysis and Geometry, Volume 144 (2015), p. 241 | DOI:10.1007/978-4-431-55744-9_18
  • Zhou, Xiangyu A Survey on L 2 Extension Problem, Complex Geometry and Dynamics, Volume 10 (2015), p. 291 | DOI:10.1007/978-3-319-20337-9_13
  • Demailly, Jean-Pierre On the Cohomology of Pseudoeffective Line Bundles, Complex Geometry and Dynamics, Volume 10 (2015), p. 51 | DOI:10.1007/978-3-319-20337-9_4
  • Saber, Sayed The L 2 ∂― -Cauchy problem on weakly q-pseudoconvex domains in Stein manifolds, Czechoslovak Mathematical Journal, Volume 65 (2015) no. 3, p. 739 | DOI:10.1007/s10587-015-0205-2
  • Gayet, Damien; Welschinger, Jean-Yves EXPECTED TOPOLOGY OF RANDOM REAL ALGEBRAIC SUBMANIFOLDS, Journal of the Institute of Mathematics of Jussieu, Volume 14 (2015) no. 4, p. 673 | DOI:10.1017/s1474748014000115
  • Ohsawa, Takeo Basic Notions and Classical Results, L² Approaches in Several Complex Variables (2015), p. 1 | DOI:10.1007/978-4-431-55747-0_1
  • Ohsawa, Takeo Bergman Kernels, L² Approaches in Several Complex Variables (2015), p. 127 | DOI:10.1007/978-4-431-55747-0_4
  • Ohsawa, Takeo L 2 Approaches to Holomorphic Foliations, L² Approaches in Several Complex Variables (2015), p. 153 | DOI:10.1007/978-4-431-55747-0_5
  • Ohsawa, Takeo Analyzing the L 2 ∂¯ -Cohomology, L² Approaches in Several Complex Variables (2015), p. 41 | DOI:10.1007/978-4-431-55747-0_2
  • Ohsawa, Takeo L 2 Oka–Cartan Theory, L² Approaches in Several Complex Variables (2015), p. 93 | DOI:10.1007/978-4-431-55747-0_3
  • Chen, Bo-Yong; Wu, Jujie; Wang, Xu Ohsawa-Takegoshi type theorem and extension of plurisubharmonic functions, Mathematische Annalen, Volume 362 (2015) no. 1-2, p. 305 | DOI:10.1007/s00208-014-1117-4
  • Ma, Xiaonan; Marinescu, George Exponential estimate for the asymptotics of Bergman kernels, Mathematische Annalen, Volume 362 (2015) no. 3-4, p. 1327 | DOI:10.1007/s00208-014-1137-0
  • Guan, Qi’An; Zhou, XiangYu Optimal constant in an L 2 extension problem and a proof of a conjecture of Ohsawa, Science China Mathematics, Volume 58 (2015) no. 1, p. 35 | DOI:10.1007/s11425-014-4946-4
  • Chen, Bo-Yong; Wang, Xu Holomorphic Maps with Large Images, The Journal of Geometric Analysis, Volume 25 (2015) no. 3, p. 1520 | DOI:10.1007/s12220-014-9482-5
  • Ji, Qingchun; Liu, Xusheng; Yu, Guangsheng L2-estimates on p -convex Riemannian manifolds, Advances in Mathematics, Volume 253 (2014), p. 234 | DOI:10.1016/j.aim.2013.12.005
  • Błocki, Zbigniew Cauchy–Riemann meet Monge–Ampère, Bulletin of Mathematical Sciences, Volume 4 (2014) no. 3, p. 433 | DOI:10.1007/s13373-014-0058-2
  • Ruppenthal, J. L2-theory for the ∂¯-operator on compact complex spaces, Duke Mathematical Journal, Volume 163 (2014) no. 15 | DOI:10.1215/0012794-2838545
  • Berman, Robert J.; Guenancia, Henri Kähler–Einstein Metrics on Stable Varieties and log Canonical Pairs, Geometric and Functional Analysis, Volume 24 (2014) no. 6, p. 1683 | DOI:10.1007/s00039-014-0301-8
  • Matsumura, Shin-ichi A Nadel vanishing theorem via injectivity theorems, Mathematische Annalen, Volume 359 (2014) no. 3-4, p. 785 | DOI:10.1007/s00208-014-1018-6
  • Biard, Séverine On L 2-Estimates for ∂¯ on a Pseudoconvex Domain in a Complete Kähler Manifold with Positive Holomorphic Bisectional Curvature, The Journal of Geometric Analysis, Volume 24 (2014) no. 3, p. 1583 | DOI:10.1007/s12220-012-9386-1
  • Chen, Bo-Yong An essay on Bergman completeness, Arkiv för Matematik, Volume 51 (2013) no. 2, p. 269 | DOI:10.1007/s11512-012-0174-8
  • Takayama, Shigeharu A local ampleness criterion of torsion free sheaves, Bulletin des Sciences Mathématiques, Volume 137 (2013) no. 5, p. 659 | DOI:10.1016/j.bulsci.2013.01.001
  • Guan, Qiʼan; Zhou, Xiangyu GeneralizedL2extension theorem and a conjecture of Ohsawa, Comptes Rendus. Mathématique, Volume 351 (2013) no. 3-4, p. 111 | DOI:10.1016/j.crma.2013.01.012
  • GUENANCIA, HENRI KÄHLER–EINSTEIN METRICS WITH CONE SINGULARITIES ON KLT PAIRS, International Journal of Mathematics, Volume 24 (2013) no. 05, p. 1350035 | DOI:10.1142/s0129167x13500353
  • COMAN, DAN; MARINESCU, GEORGE CONVERGENCE OF FUBINI–STUDY CURRENTS FOR ORBIFOLD LINE BUNDLES, International Journal of Mathematics, Volume 24 (2013) no. 07, p. 1350051 | DOI:10.1142/s0129167x13500511
  • Seip, Kristian; Youssfi, El Hassan Hankel Operators on Fock Spaces and Related Bergman Kernel Estimates, Journal of Geometric Analysis, Volume 23 (2013) no. 1, p. 170 | DOI:10.1007/s12220-011-9241-9
  • Chen, Bo-Yong Discrete groups and holomorphic functions, Mathematische Annalen, Volume 355 (2013) no. 3, p. 1025 | DOI:10.1007/s00208-012-0810-4
  • Ji, Qingchun Division theorems for exact sequences, Mathematische Annalen, Volume 355 (2013) no. 3, p. 947 | DOI:10.1007/s00208-012-0807-z
  • Kikuta, Shin Restricted Carathéodory measure and restricted volume of the canonical bundle, Michigan Mathematical Journal, Volume 62 (2013) no. 2 | DOI:10.1307/mmj/1370870373
  • Demailly, Jean-Pierre Applications of Pluripotential Theory to Algebraic Geometry, Pluripotential Theory, Volume 2075 (2013), p. 143 | DOI:10.1007/978-3-642-36421-1_3
  • Ji, Qingchun Division theorems for the Koszul complex, Advances in Mathematics, Volume 231 (2012) no. 5, p. 2450 | DOI:10.1016/j.aim.2012.07.028
  • Pali, Nefton On the L 2-extension of twisted holomorphic sections of singular hermitian line bundles, Annali di Matematica Pura ed Applicata, Volume 191 (2012) no. 3, p. 363 | DOI:10.1007/s10231-011-0187-0
  • Chen, Bo-Yong; Fu, Siqi Comparison of the Bergman and Szegö kernels, Advances in Mathematics, Volume 228 (2011) no. 4, p. 2366 | DOI:10.1016/j.aim.2011.07.013
  • Demailly, Jean-Pierre A converse to the Andreotti-Grauert theorem, Annales de la Faculté des sciences de Toulouse : Mathématiques, Volume 20 (2011) no. S2, p. 123 | DOI:10.5802/afst.1308
  • YANG, QILIN (k, s)-POSITIVITY AND VANISHING THEOREMS FOR COMPACT KÄHLER MANIFOLDS, International Journal of Mathematics, Volume 22 (2011) no. 04, p. 545 | DOI:10.1142/s0129167x11006908
  • Koziarz, Vincent Extensions with estimates of cohomology classes, Manuscripta Mathematica, Volume 134 (2011) no. 1-2, p. 43 | DOI:10.1007/s00229-010-0376-y
  • van Coevering, Craig Examples of asymptotically conical Ricci-flat Kähler manifolds, Mathematische Zeitschrift, Volume 267 (2011) no. 1-2, p. 465 | DOI:10.1007/s00209-009-0631-7
  • Li, Xiang-Dong Lp-estimates and existence theorems for the ∂¯-operator on complete Kähler manifolds, Advances in Mathematics, Volume 224 (2010) no. 2, p. 620 | DOI:10.1016/j.aim.2009.12.007
  • DEMAILLY, JEAN-PIERRE; PALI, NEFTON DEGENERATE COMPLEX MONGE–AMPÈRE EQUATIONS OVER COMPACT KÄHLER MANIFOLDS, International Journal of Mathematics, Volume 21 (2010) no. 03, p. 357 | DOI:10.1142/s0129167x10006070
  • Li, Xiang-Dong Sobolev Inequalities on Forms and L p,q -Cohomology on Complete Riemannian Manifolds, Journal of Geometric Analysis, Volume 20 (2010) no. 2, p. 354 | DOI:10.1007/s12220-009-9114-7
  • ASSERDA, SAID THE DEGREE OF HOLOMORPHIC APPROXIMATION ON A TOTALLY REAL SET, Bulletin of the Australian Mathematical Society, Volume 79 (2009) no. 1, p. 171 | DOI:10.1017/s0004972708001226
  • Błocki, Zbigniew Some applications of the Ohsawa–Takegoshi extension theorem, Expositiones Mathematicae, Volume 27 (2009) no. 2, p. 125 | DOI:10.1016/j.exmath.2008.10.004
  • NAPIER, TERRENCE; RAMACHANDRAN, MOHAN L2 CASTELNUOVO–DE FRANCHIS, THE CUP PRODUCT LEMMA, AND FILTERED ENDS OF KÄHLER MANIFOLDS, Journal of Topology and Analysis, Volume 01 (2009) no. 01, p. 29 | DOI:10.1142/s1793525309000035
  • Ma, Xiaonan; Marinescu, George Generalized Bergman kernels on symplectic manifolds, Advances in Mathematics, Volume 217 (2008) no. 4, p. 1756 | DOI:10.1016/j.aim.2007.10.008
  • Demailly, Jean-Pierre; Hwang, Jun-Muk; Peternell, Thomas Compact Manifolds Covered by a Torus, Journal of Geometric Analysis, Volume 18 (2008) no. 2, p. 324 | DOI:10.1007/s12220-008-9017-z
  • Brudnyi, Alexander Corona theorem for H∞ on covering of Riemann surfaces of finite type, Michigan Mathematical Journal, Volume 56 (2008) no. 2 | DOI:10.1307/mmj/1224783514
  • Brudnyi, Alexander Hartogs Type Theorems for CR L2 Functions on Coverings of Strongly Pseudoconvex Manifolds, Nagoya Mathematical Journal, Volume 189 (2008), p. 27 | DOI:10.1017/s0027763000009491
  • CHANG, YU-LIN EXAMPLES OF A NON-VANISHING CONJECTURE OF KAWAMATA, International Journal of Mathematics, Volume 18 (2007) no. 05, p. 527 | DOI:10.1142/s0129167x07004229
  • Brudnyi, Alexander On holomorphic functions of slow growth on coverings of strongly pseudoconvex manifolds, Journal of Functional Analysis, Volume 249 (2007) no. 2, p. 354 | DOI:10.1016/j.jfa.2007.03.020
  • Méo, Michel Courants résidus et formule de King, Arkiv för Matematik, Volume 44 (2006) no. 1, p. 149 | DOI:10.1007/s11512-005-0003-4
  • Andersson, Mats Residue currents of holomorphic morphisms, Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2006 (2006) no. 596 | DOI:10.1515/crelle.2006.060
  • Anderson, Mats Explicit versions of the Briançon-Skoda theorem with variations, Michigan Mathematical Journal, Volume 54 (2006) no. 2 | DOI:10.1307/mmj/1156345600
  • Popovici, Dan L2Extension for jets of holomorphic sections of a Hermitian line Bundle, Nagoya Mathematical Journal, Volume 180 (2005), p. 1 | DOI:10.1017/s0027763000009168
  • Chen, Bo-Yong On the Bergman metric of pseudoconvex domains in a complex projective space, Proceedings of the American Mathematical Society, Volume 134 (2005) no. 1, p. 139 | DOI:10.1090/s0002-9939-05-07780-4
  • Brinkschulte, Judith The Hartogs phenomenon in hypersurfaces with constant signature, Annali di Matematica Pura ed Applicata, Volume 183 (2004) no. 4, p. 515 | DOI:10.1007/s10231-004-0103-y
  • Brinkschulte, Judith The ∂¯ -problem with support conditions on some weakly pseudoconvex domainswith support conditions on some weakly pseudoconvex domains, Arkiv för Matematik, Volume 42 (2004) no. 2, p. 259 | DOI:10.1007/bf02385479
  • Chen, Bo-Yong Bergman completeness of hyperconvex manifolds, Nagoya Mathematical Journal, Volume 175 (2004), p. 165 | DOI:10.1017/s0027763000008941
  • Takayama, Shigeharu Local Simple Connectedness of Resolutions of Log-Terminal Singularities, International Journal of Mathematics, Volume 14 (2003) no. 08, p. 825 | DOI:10.1142/s0129167x0300196x
  • Mourougane, Christophe Interpolation in non-positively curved Kähler manifolds, Journal of Geometric Analysis, Volume 13 (2003) no. 1, p. 173 | DOI:10.1007/bf02931003
  • Paoletti, Roberto Some remarks on multiplier ideals and vector bundles, advg, Volume 3 (2003) no. 1, p. 101 | DOI:10.1515/advg.2003.001
  • BOUCKSOM, SÉBASTIEN ON THE VOLUME OF A LINE BUNDLE, International Journal of Mathematics, Volume 13 (2002) no. 10, p. 1043 | DOI:10.1142/s0129167x02001575
  • Campana, Frédéric; Demailly, Jean-Pierre Cohomologie L2 sur les revêtements d’une varie’ete’ complexe compacte, Arkiv för Matematik, Volume 39 (2001) no. 2, p. 263 | DOI:10.1007/bf02384557
  • Dingoyan, P. Convexity and Hartogs’s theorem in some open subset of a projective manifold, Complex Analysis and Geometry, Volume 188 (2000), p. 173 | DOI:10.1007/978-3-0348-8436-5_12
  • Epstein, Charles L.; Henkin, Gennadi M. Embeddings for 3-dimensional CR-manifolds, Complex Analysis and Geometry, Volume 188 (2000), p. 223 | DOI:10.1007/978-3-0348-8436-5_18
  • Demailly, Jean-Pierre On the Ohsawa-Takegoshi-Manivel L 2 extension theorem, Complex Analysis and Geometry, Volume 188 (2000), p. 47 | DOI:10.1007/978-3-0348-8436-5_3
  • Koziarz, Vincent Annulation de la cohomologie pour les fibres semi-positifs, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Volume 327 (1998) no. 2, p. 143 | DOI:10.1016/s0764-4442(98)80007-4
  • Napier, Terrence; Ramachandran, Mohan The 𝐿² ∂̄-method, weak Lefschetz theorems, and the topology of Kähler manifolds, Journal of the American Mathematical Society, Volume 11 (1998) no. 2, p. 375 | DOI:10.1090/s0894-0347-98-00257-4
  • Asserda, Saïd Covering of a holomorphically convex manifold carrying a positive line bundle, Pacific Journal of Mathematics, Volume 185 (1998) no. 2, p. 201 | DOI:10.2140/pjm.1998.185.201
  • Asserda, S. Convexité holomorphe intermédiaire des revetements d'un domaine pseudoconvexe, Bulletin of the Australian Mathematical Society, Volume 56 (1997) no. 2, p. 285 | DOI:10.1017/s0004972700031038
  • Campana, Frédéric Seminégativité des courbes compactes des revêtements non compacts des surfaces projectives complexes, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Volume 324 (1997) no. 12, p. 1339 | DOI:10.1016/s0764-4442(97)83571-9
  • Ohsawa, Takeo On the analytic structure of certain infinite dimensional Teicmüller spaces, Nagoya Mathematical Journal, Volume 141 (1996), p. 143 | DOI:10.1017/s0027763000005560
  • Demailly, Jean-Pierre L2 vanishing theorems for positive line bundles and adjunction theory, Transcendental Methods in Algebraic Geometry, Volume 1646 (1996), p. 1 | DOI:10.1007/bfb0094302
  • Abe, Makoto On the line bundle convexity of a totally pseudoconvex open set, Complex Variables, Theory and Application: An International Journal, Volume 26 (1995) no. 4, p. 283 | DOI:10.1080/17476939508814789
  • Napier, T.; Ramachandran, M. Structure theorems for complete Kähler manifolds and applications to Lefschetz type theorems, Geometric and Functional Analysis, Volume 5 (1995) no. 5, p. 809 | DOI:10.1007/bf01897052
  • KAZAMA, Hideaki; OHTA, Tomoaki; SHON, Kwang Ho VANISHING, NON-VANISHING AND IMBEDDING THEOREMS ON WEAKLY PSEUDOCONVEX COMPLEX SPACES, Kyushu Journal of Mathematics, Volume 49 (1995) no. 2, p. 243 | DOI:10.2206/kyushujm.49.243
  • Takegoshi, Kensho Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper K�hler morphisms, Mathematische Annalen, Volume 303 (1995) no. 1, p. 389 | DOI:10.1007/bf01460997
  • Michel, Vincent Résolution locale du ∂¯ avec régularité Gevrey au bord d’un domainer-convexeavec régularité Gevrey au bord d’un domainer-convexe, Mathematische Zeitschrift, Volume 218 (1995) no. 1, p. 305 | DOI:10.1007/bf02571906
  • Ohsawa, Takeo On the extension ofL 2 holomorphic functions III: negligible weights, Mathematische Zeitschrift, Volume 219 (1995) no. 1, p. 215 | DOI:10.1007/bf02572360
  • Asserda, Saïd The Levi problem on projective manifolds, Mathematische Zeitschrift, Volume 219 (1995) no. 1, p. 631 | DOI:10.1007/bf02572385
  • Lárusson, Finnur An extension theorem for holomorphic functions of slow growth on covering spaces of projective manifolds, The Journal of Geometric Analysis, Volume 5 (1995) no. 2, p. 281 | DOI:10.1007/bf02921678
  • Demailly, Jean-Pierre Regularization of closed positive currents of type (1,1) by the flow of a Chern connection, Contributions to Complex Analysis and Analytic Geometry / Analyse Complexe et Géométrie Analytique, Volume E 26 (1994), p. 105 | DOI:10.1007/978-3-663-14196-9_4
  • Demailly, Jean-Pierre A numerical criterion for very ample line bundles, Journal of Differential Geometry, Volume 37 (1993) no. 2 | DOI:10.4310/jdg/1214453680
  • Michel, Vincent Sur la r�gularit�C ? du ∂¯ au bord d'un domaine de ? n dont la forme de Levi a exactements valeurs propres strictement n�gatives, Mathematische Annalen, Volume 295 (1993) no. 1, p. 135 | DOI:10.1007/bf01444880
  • Manivel, Laurent Un théorème de prolongementL 2 de sections holomorphes d'un fibré hermitien, Mathematische Zeitschrift, Volume 212 (1993) no. 1, p. 107 | DOI:10.1007/bf02571643
  • Ohsawa, Takeo On the bergman kernel of hyperconvex domains, Nagoya Mathematical Journal, Volume 129 (1993), p. 43 | DOI:10.1017/s0027763000004311
  • Damailly, Jean-Pierre Singular hermitian metrics on positive line bundles, Complex Algebraic Varieties, Volume 1507 (1992), p. 87 | DOI:10.1007/bfb0094512
  • Pardon, William L.; Stern, Mark A. 𝐿²–∂-cohomology of complex projective varieties, Journal of the American Mathematical Society, Volume 4 (1991) no. 3, p. 603 | DOI:10.1090/s0894-0347-1991-1102582-6
  • Pinney, Karen R. Line bundle convexity of pseudoconvex domains in complex manifolds, Mathematische Zeitschrift, Volume 206 (1991) no. 1, p. 605 | DOI:10.1007/bf02571367
  • Takegoshi, Kensho A non-existence theorem for pluriharmonic maps of finite energy, Mathematische Zeitschrift, Volume 192 (1986) no. 1, p. 21 | DOI:10.1007/bf01162016
  • Rosenberg, Jonathan; Vergne, Michèle Harmonically induced representations of solvable Lie groups, Journal of Functional Analysis, Volume 62 (1985) no. 1, p. 8 | DOI:10.1016/0022-1236(85)90017-5
  • Varouchas, J. Stabilit� de la classe des vari�t�s K�hl�riennes par certains morphismes propres, Inventiones Mathematicae, Volume 77 (1984) no. 1, p. 117 | DOI:10.1007/bf01389138

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