@book{MSMF_1984_2_14__R1_0, author = {Dloussky, Georges}, title = {Structure des surfaces de {Kato}}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, publisher = {Soci\'et\'e math\'ematique de France}, number = {14}, year = {1984}, doi = {10.24033/msmf.297}, mrnumber = {87i:32039}, zbl = {0543.32012}, language = {fr}, url = {http://www.numdam.org/item/MSMF_1984_2_14__R1_0/} }
Dloussky, Georges. Structure des surfaces de Kato. Mémoires de la Société Mathématique de France, Série 2, no. 14 (1984), 122 p. doi : 10.24033/msmf.297. http://numdam.org/item/MSMF_1984_2_14__R1_0/
[1] Surfaces of class VII and affine geometry (Russian), Izv. Akad. Nauk SSSR ser. Mat. 46 (1982) pp. 710-761. | Zbl | MR
:[2] Sur les surfaces compactes de la classe VII contenant une coquille sphérique globale. CRAS, T. 292 pp. 727-730 (1981). | Zbl | MR
:[3] Sur les courbes et champs de vecteurs globaux des surfaces analytiques de la classe VII admettant une coquille sphérique globale. CRAS t. 295 pp. 111-114 (1982). | Zbl | MR
:[4] Surfaces of class VII with curves. Proceedings Japan Acad. 56 ser. A (1980). | Zbl | MR
:[5] Surfaces of class VII with curves. Tôhoku Math. J. 33 (1981) 453-492. | Zbl | MR
:[6] Über die Enden topologischer Räume und Gruppen. Math. Zeitschrift 33 (1931) 692-713. | Zbl | JFM
:[7] Über Modifikationen und exzeptionnelle analytischen Mengen. Math. Annalen 146 (1962), 331-368. | Zbl | MR
:[8] Séminaire Cartan 1960-1961 Exposé 21 E.N.S. Paris. | Numdam
:[9] On surfaces of class VII. Invent. Math. 24 (1974) pp. 269-310. | Zbl | MR
:[10] New surfaces with no meromorphic function. Proceedings of the Int. Congress of Math. Vancouver 1974 Vol 1 R. James Ed. 1975 pp. 423-426. | Zbl | MR
:[11] New surfaces with no meromorphic functions II Complex Analysis and Algebraic Geometry. Iwanami Shoten Publ. Tokyo 1977. | Zbl
:[12] Compact complex manifolds containing "global spherical shells" I Proceedings of the Int. Symp. Algebraic Geometry, Kyoto 1977. Kinokuniya Book Store. Tokyo 1978. | Zbl
:[13] On compact complex analytic surfaces I, II, III. Annals of Math. vol. 71 (1960) pp. 111-152 ; vol. 77 (1963) pp. 563-626 ; vol. 78 (1963) pp. 1-40. | Zbl
:[14] On the structure of compact complex analytic surfaces I, II. Am. J. of Math. vol 86 (1964) pp. 751-798 ; vol. 88 (1966) pp. 682-721. | Zbl
:[15] Normal two-dimensional singularities. Annals of Math. Studies Princetion Univ. Press (1971). | Zbl | MR
:[16] On surfaces of class VII with positive b2. Preprint.
:[17] On surfaces of class VII with curves. Proceedings of the Japan Acad. vol. 58 (1982), sér. A, pp. 380-383. | Zbl | MR
:[18] On surfaces of class VII with global spherical shells. Proceedings of the Japan Acad., vol. 59, ser. A, n° 2 (1983) pp. 29-32. | Zbl | MR
:[19] On surfaces of class VII with curves. Preprint.
:[20] Vector fields on analytic spaces. Annals of Math. vol. 78 (1963) 455-467. | Zbl | MR
:[21] Function theory in the unit ball of ℂn. Springer Verlag 1980. | Zbl | MR
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- Toric Kato manifolds, Journal de l'École Polytechnique – Mathématiques, Volume 9 (2022), pp. 1347-1395 | DOI:10.5802/jep.208 | Zbl:1504.32049
- Classification of non-Kähler surfaces and locally conformally Kähler geometry, Russian Mathematical Surveys, Volume 76 (2021) no. 2, pp. 261-289 | DOI:10.1070/rm9858 | Zbl:1471.32023
- Классификация некэлеровых поверхностей и локально конформно кэлерова геометрия, Успехи математических наук, Volume 76 (2021) no. 2(458), p. 71 | DOI:10.4213/rm9858
- Pluriclosed flow and the geometrization of complex surfaces, Geometric analysis. In honor of Gang Tian's 60th birthday, Cham: Birkhäuser, 2020, pp. 471-510 | DOI:10.1007/978-3-030-34953-0_19 | Zbl:1444.32018
- Links of sandwiched surface singularities and self-similarity, Manuscripta Mathematica, Volume 162 (2020) no. 1-2, pp. 23-65 | DOI:10.1007/s00229-019-01126-9 | Zbl:1455.14007
- Smooth deformations of singular contractions of class VII surfaces, Mathematische Zeitschrift, Volume 296 (2020) no. 3-4, pp. 1521-1537 | DOI:10.1007/s00209-020-02481-0 | Zbl:1455.14073
- First Chern class and birational germs of Kato surfaces, Bollettino dell'Unione Matematica Italiana, Volume 12 (2019) no. 1-2, pp. 239-249 | DOI:10.1007/s40574-018-0182-0 | Zbl:1421.32024
- Bi-Hermitian metrics on Kato surfaces, Journal of Geometry and Physics, Volume 138 (2019), pp. 33-43 | DOI:10.1016/j.geomphys.2018.12.008 | Zbl:1418.32012
- Constructions and classifications of projective Poisson varieties, Letters in Mathematical Physics, Volume 108 (2018) no. 3, pp. 573-632 | DOI:10.1007/s11005-017-0984-5 | Zbl:1390.53093
- Donaldson theory in non-Kählerian geometry, Modern geometry. A celebration of the work of Simon Donaldson, Providence, RI: American Mathematical Society (AMS), 2018, pp. 363-392 | DOI:10.1090/pspum/099/01746 | Zbl:1448.53075
- Towards the Classification of Class VII Surfaces, Complex and Symplectic Geometry, Volume 21 (2017), p. 249 | DOI:10.1007/978-3-319-62914-8_18
- Semicomplete vector fields on non-Kähler surfaces, Proceedings of the Japan Academy, Series A, Mathematical Sciences, Volume 93 (2017) no. 8 | DOI:10.3792/pjaa.93.73
- Special birational structures on non-Kählerian complex surfaces, Journal de Mathématiques Pures et Appliquées. Neuvième Série, Volume 106 (2016) no. 1, pp. 76-122 | DOI:10.1016/j.matpur.2016.02.002 | Zbl:1405.32019
- On the torsion of the first direct image of a locally free sheaf, Annales de l'Institut Fourier, Volume 65 (2015) no. 1, pp. 101-136 | DOI:10.5802/aif.2926 | Zbl:1329.32003
- Numerically anticanonical divisors on Kato surfaces, Journal of Geometry and Physics, Volume 91 (2015), pp. 117-130 | DOI:10.1016/j.geomphys.2015.01.001 | Zbl:1321.32009
- Vector fields, separatrices and Kato surfaces, Annales de l'Institut Fourier, Volume 64 (2014) no. 3, pp. 1331-1361 | DOI:10.5802/aif.2882 | Zbl:1335.32025
- From non-Kählerian surfaces to Cremona group of
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- Nonalgebraic compactifications of quotients of the cylinder, Duke Mathematical Journal, Volume 162 (2013) no. 1, pp. 95-109 | DOI:10.1215/00127094-1959084 | Zbl:1268.32005
- Convexity properties of coverings of 1-convex surfaces, Mathematische Zeitschrift, Volume 275 (2013) no. 3-4, pp. 781-792 | DOI:10.1007/s00209-013-1160-y | Zbl:1287.32006
- Infinite bubbling in non-Kählerian geometry, Mathematische Annalen, Volume 353 (2012) no. 4, pp. 1283-1314 | DOI:10.1007/s00208-011-0713-9 | Zbl:1252.32026
- Quadratic forms and singularities of genus one or two, Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI, Volume 20 (2011) no. 1, pp. 15-69 | DOI:10.5802/afst.1285 | Zbl:1219.14022
- Locally conformally Kähler metrics on Kato surfaces, Nagoya Mathematical Journal, Volume 202 (2011), pp. 77-81 | DOI:10.1215/00277630-1260450 | Zbl:1227.32026
- Locally conformally Kähler metrics on certain non-Kählerian surfaces, Mathematische Annalen, Volume 346 (2010) no. 3, pp. 629-639 | DOI:10.1007/s00208-009-0407-8 | Zbl:1196.32015
- Moduli spaces of
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- On the Kähler rank of compact complex surfaces, Bulletin de la Société Mathématique de France, Volume 136 (2008) no. 2, pp. 243-260 | DOI:10.24033/bsmf.2556 | Zbl:1165.32010
- Logarithmic moduli spaces for surfaces of class VII, Mathematische Annalen, Volume 341 (2008) no. 2, pp. 323-345 | DOI:10.1007/s00208-007-0192-1 | Zbl:1144.32004
- Stability problems and non-Kähler surfaces, Comptes Rendus. Mathématique. Académie des Sciences, Paris, Volume 337 (2003) no. 8, pp. 537-541 | DOI:10.1016/j.crma.2003.09.010 | Zbl:1038.32019
- Class VII
surfaces with curves., Tôhoku Mathematical Journal. Second Series, Volume 55 (2003) no. 2, pp. 283-309 | DOI:10.2748/tmj/1113246942 | Zbl:1034.32012 - Vector fields and foliations on compact surfaces of class
, Annales de l'Institut Fourier, Volume 49 (1999) no. 5, pp. 1503-1545 | DOI:10.5802/aif.1728 | Zbl:0978.32021 - Feuilletages holomorphes singuliers sur les surfaces contenant une coquille sphérique globale. (Singular holomorphic foliations on surfaces containing a global spherical shell.), Annales de l'Institut Fourier, Volume 45 (1995) no. 1, pp. 161-182 | DOI:10.5802/aif.1452 | Zbl:0814.57022
- Filling in holes of analytic surfaces and classification of compact surfaces, Annales de l'Institut Fourier, Volume 43 (1993) no. 3, pp. 713-741 | DOI:10.5802/aif.1352 | Zbl:0783.32008
- Analyticité séparée et prolongement analytique. (Separate analyticity and analytic extension), Mathematische Annalen, Volume 286 (1990) no. 1-3, pp. 153-168 | DOI:10.1007/bf01453570 | Zbl:0701.32003
- On surfaces of class
with curves. II, Tôhoku Mathematical Journal. Second Series, Volume 42 (1990) no. 4, pp. 475-516 | DOI:10.2748/tmj/1178227571 | Zbl:0732.14019 - Une construction élémentaire des surfaces d'Inoue-Hirzebruch. (An elementary construction of Inoue-Hirzebruch surfaces), Mathematische Annalen, Volume 280 (1988) no. 4, pp. 663-682 | DOI:10.1007/bf01450083 | Zbl:0617.14025
- On surfaces of class
with curves. II, Proceedings of the Japan Academy. Series A, Volume 62 (1986), pp. 406-409 | DOI:10.3792/pjaa.62.406 | Zbl:0619.14023
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