@phdthesis{BJHTUP11_1998__0509__P0_0, author = {Guedj, Vincent}, title = {Approximation des courants positifs et convexit\'e rationnelle sur les vari\'et\'es complexes}, series = {Th\`eses d'Orsay}, publisher = {Universit\'e de Paris-Sud U.F.R. Scientifique d'Orsay}, number = {509}, year = {1998}, language = {fr}, url = {http://www.numdam.org/item/BJHTUP11_1998__0509__P0_0/} }
TY - BOOK AU - Guedj, Vincent TI - Approximation des courants positifs et convexité rationnelle sur les variétés complexes T3 - Thèses d'Orsay PY - 1998 IS - 509 PB - Université de Paris-Sud U.F.R. Scientifique d'Orsay UR - http://www.numdam.org/item/BJHTUP11_1998__0509__P0_0/ LA - fr ID - BJHTUP11_1998__0509__P0_0 ER -
Guedj, Vincent. Approximation des courants positifs et convexité rationnelle sur les variétés complexes. Thèses d'Orsay, no. 509 (1998), 106 p. http://numdam.org/item/BJHTUP11_1998__0509__P0_0/
Ak 95 Lie group actions in Complex Analysis, Aspects of Math., Viehweg (1995). | MR | Zbl | DOI
:A-W 97 Several Complex Variables and Banach Algebras, 3rd edition G.T.M., Springer (1997). | MR | Zbl
& :Be 94 -methods for the -equation. Lecture notes, C.T.H. Göteborg (1994).
:Be 96 The extension theorem of Ohsawa-Takegoshi and the theorem of Donnelly-Fefferman. Ann.Inst.Fourier (Grenoble) 46 (1996), 1083-1094. | MR | Zbl | Numdam | DOI
:B-H 58 Characteristic classes and homogeneous spaces. Am.J.Math. 80 (1958), 458-538. | MR | Zbl | DOI
& :B-R 62 Über kompakte homogene Kählersche Mannigfaltigkeiten. Math.Ann. 145 (1962), 429-439. | MR | Zbl | DOI
& :Br 56 On the conjecture of the equivalence of the plurisubharmonic functions and the Hartogs functions, Math.Ann. 131 (1956), 76-86. | MR | Zbl | DOI
:Ce 78 Removable singularities for p.s.h. functions and related problems. Proc.Lond.Math.Soc. 36 (1978), 310-336. | MR | Zbl | DOI
:De 82a Courants positifs extrêmaux et conjecture de Hodge. Invent.Math. 69 (1982), 347-374. | MR | Zbl | DOI
:De 82b Estimations pour l'opérateur d'un fibré vectoriel holomorphe semi-positif au dessus d'une variété kählérienne complète, Ann.Sci.E.N.S. 15 (1982), 457-511. | MR | Zbl | Numdam
:De 90 Singular hermitian metrics on positive line bundles, Proc.Conf. Complex Algebraic Varieties, Bayreuth (1990), Lecture Note in Math. 1507, Springer, Berlin, 1992. | MR | Zbl | DOI
:De 91 Monge-Ampère Operators, Lelong numbers and intersection theory, in Complex analysis and geometry. A.Ancona & A.Silva ed., Plenum Press 1993, 115-193. | MR | Zbl | DOI
:De 92 Regularization of closed positive currents and intersection theory. J.Alg.Geom. 1 (1992), 361-409. | MR | Zbl
:De 93 A numerical criterion for very ample line bundles. J.Diff.Geom. 37 (1993), 323-374. | MR | Zbl
:D-P-T 94 Compact complex manifolds with numerically effective tangent bundles. J.Alg.Geom. 3 (1994), 295-345. | MR | Zbl
& & :dR 55 Variétés différentiables. Paris Hermann (1955). | Zbl
:Di 98 Dynamics of birational maps II, preprint Cornell (1998). | Zbl | MR
:D-G 60 Levisches Problem und Rungeschen Satz für Teilgebiete Steinscher Mannigfaltigkeiten. Math.Ann. 140 (1960), 94-123. | MR | Zbl | DOI
& :D 91 Convexité rationnelle des surfaces Lagrangiennes. Invent.Math. 104 (1991), 581-599. | MR | Zbl | DOI
:D 94 Une caractérisation Kählerienne des surfaces rationnellement convexes. Acta Math. 172(1994), 77-89. | MR | Zbl | DOI
:D-S 95 Polynomial convexity, rational convexity and currents. Duke Math.J. 79 (1995) 487-513. | MR | Zbl | DOI
& :El 75 Pseudoconvexité locale dans les variétés Kählériennes. Ann.Inst.Fourier 25 (1975),295-314. | MR | Zbl | Numdam | DOI
:F 96 Sur l'intersection d'une surface de Riemann avec des hypersurfaces algébriques. C.R.A.S Série I n°4 t.322, Géométrie analytique (1996), 371-376. | MR | Zbl
:Fa 98 Pull-back and Lelong number of currents, manuscript (1998).
:F-N 80 The Levi problem on Complex Spaces with Singularities. Math.Ann. 248 (1980), 47-72. | MR | Zbl | DOI
& :F-S 94 Complex dynamics in higher dimensions, in Complex Potential Theory, Montreal 1993, Kluwer Ac.Publ. (1994), 131-186. | MR | Zbl | DOI
& :F-S 95 Oka's inequality for currents and applications. Math.Ann. 301 (1995), 399-419. | MR | Zbl | DOI
& :G-H 78 Principles of algebraic geometry, Wiley, New-York (1978). | MR | Zbl
& :G 97a Representation theorems for positive closed -currents on flag manifolds of , preprint (1997).
:G 97b On the approximation of positive closed (1, 1)-currents by analytic varieties, licenciate thesis, Chalmers University of Technology (Göteborg, Sweden), preprint (1997).
:G 97c Approximation of currents on complex manifolds, to appear in Math.Ann. | MR | Zbl
:H 77 Algebraic geometry, G.T.M., Springer-Verlag (1977). | MR | Zbl | DOI
:Ha 77 Holomorphic chains and their boundaries, Proc. of Symposia in Pure Math., Sev.Comp.Var., Williamstown 1975, vol XXX, part I, ed. R.-O.Wells (1977). 309-382. | MR | Zbl | DOI
:Ha-P 75 Extending analytic objects. Comm.Pure Appl.Math. 28 (1975), 701-727. | MR | Zbl
& :Hi 75 Le problème de Lévi pour les espaces homogènes. Bull.Soc.Math.France 103 (1975), 191-201. | MR | Zbl | Numdam | DOI
:Hö 85 The Analysis of Linear Partial Differential operators, vol II, Grundlehren der math. Wissens., Springer-Verlag (1985). | Zbl | MR
:Hö 88 An introduction to Complex Analysis in Several Variables. Third edition, North-Holland math. libr. vol.7, Amsterdam, London (1988). | MR | Zbl
:Hu 94 Subvarieties of homogeneous and almost homogeneous manifolds, in Contributions to Complex Analysis and Analytic Geometry dedicated to P.Dolbeault. H.Skoda & J.-M. Trépreau ed. (1994), 189-232. | MR | Zbl
:Ki 87 Un nombre de Lelong raffiné. Annales de la Faculté des Sciences et Techniques de Monastir (1987),61-70.
:Ki 94 Attenuating the singularities of plurisubharmonic functions. Ann.Pol.Math. 60 (1994),173-197. | MR | Zbl | DOI
:Ki 98 Ensembles de sous-niveau et images inverses des fonctions plurisousharmoniques. Communication, colloque en l'honneur de G.Coeuré, Lille (juin 1998). | MR | Zbl
:K 91 Pluripotential theory, Oxford (1991). | MR | Zbl
:Le 57 Intégration sur un ensemble analytique complexe. Bull.Soc.Math.Fr. 85 (1957), 239-262. | MR | Zbl | Numdam | DOI
:Le 72 Eléments extrêmaux sur le cône des courants positifs fermés. Séminaire P.Lelong (Analyse), 12e année 1971-72, Lecture Notes in Math. vol 332, Springer (1972). | MR | Zbl
:Le 85 Les objets souples de l'analyse complexe, Expo.Math. 3 (1985), 149-164. | MR | Zbl
:Le-G 86 Entire functions of several complex variables, Grundlehren der math. Wissens., Springer-Verlag (1986). | MR | Zbl | DOI
& :M 93 Un théorème de prolongement L2 pour des sections holomorphes d'un fibré hermitien. Math.Zeit. 212 (1993), 107-122. | MR | Zbl | DOI
:M 97 Fonctions symétriques, polynômes de Schubert et lieux de dégénérescence, to appear in Cours spécialisés de la S.M.F. (1997). | MR | Zbl
:Me 96 Transformations intégrales pour les courants positifs fermés et théorie de l'intersection. Thèse Grenoble (1996).
:Na 63 The Levi problem in the theory of functions of several complex variables. Proc.Int.Cong.Math. Stockholm 1962, Almgvist and Wiksells, Uppsala (1963), 385-388. | Zbl | MR
:O-T 87 On the extension of holomorphic functions, Math.Z. 195 (1987), 197-204. | MR | Zbl | DOI
- :Ri 68 Stetige streng pseudoconvexe Funktionen. Math.Ann. 175 (1968), 257-286. | MR | Zbl | DOI
:Sa 82 Extension of plurisubharmonic functions from a submanifold. D.A.N.Uz. 5 (1982), 3-4. | Zbl | MR
:Sc 98 Asymptotics of Kähler-Einstein metrics on quasi-projective manifolds and an extension theorem on holomorphic maps. Math.Ann. 311 (1998), 631-667. | MR | Zbl | DOI
:Si 85 Quelques problèmes de prolongement de courants en analyse complexe. Duke Math. J. 52 (1985), 157-197. | MR | Zbl | DOI
:Si 98 Dynamique des applications rationnelles de . Survey (1998). | MR | Zbl
:Siu 74 Analyticity of sets associated to Lelong numbers and the extension of closed positive currents. Invent.Math. 2 (1974),53-156. | MR | Zbl | DOI
:Sk 86 Extension problems and positive currents in complex analysis. Contributions to Several Complex Variables, A.Howard & P.-M.Wong ed., Aspects of Mathematics (1986), 299-328. | MR | Zbl
:St 63 Polynomially and rationally convex sets. Acta Math. 109 (1963), 259-289. | MR | Zbl | DOI
:S-D 74 Analytic theory of abelian varieties. London Math.Soc. Lecture Note Serie 14, Cambridge Univ.Press (1974). | MR | Zbl
:S 76 Pseudoconvex domains on a Kähler manifold with positive holomorphic bisectional curvature. Publ.Res.Inst.math.Sci. 12 (1976/77),191-214 & 439-445. | MR | Zbl
:T 98 Adjoint linear series on weakly l-complete Kähler manifolds. Math.Ann. 311 (1998), 501-531. | MR | Zbl | DOI
:Th 67 The Lelong number of a point of a complex analytic set. Math.Annalen 172 (1967),269-312. | MR | Zbl | DOI
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