Sur des variétés de Moishezon dont le groupe de Picard est de rang un

Laurent Bonavero

Bulletin de la Société Mathématique de France (1996)

  • Volume: 124, Issue: 3, page 503-521
  • ISSN: 0037-9484

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Bonavero, Laurent. "Sur des variétés de Moishezon dont le groupe de Picard est de rang un." Bulletin de la Société Mathématique de France 124.3 (1996): 503-521. <http://eudml.org/doc/87748>.

@article{Bonavero1996,
author = {Bonavero, Laurent},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Picard group; big canonical bundle; Moishezon manifolds; Mori theory},
language = {fre},
number = {3},
pages = {503-521},
publisher = {Société mathématique de France},
title = {Sur des variétés de Moishezon dont le groupe de Picard est de rang un},
url = {http://eudml.org/doc/87748},
volume = {124},
year = {1996},
}

TY - JOUR
AU - Bonavero, Laurent
TI - Sur des variétés de Moishezon dont le groupe de Picard est de rang un
JO - Bulletin de la Société Mathématique de France
PY - 1996
PB - Société mathématique de France
VL - 124
IS - 3
SP - 503
EP - 521
LA - fre
KW - Picard group; big canonical bundle; Moishezon manifolds; Mori theory
UR - http://eudml.org/doc/87748
ER -

References

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  1. [And85] ANDO (T.). — On extremal rays of the higher dimensional varieties, Invent. Math., t. 81, 1985, p. 347-357. Zbl0554.14001MR87g:14045
  2. [BPV84] BARTH (W.), PETERS (C.) and VAN DE VEN (A.). — Compact complex surfaces. — Springer, 1984. Zbl0718.14023MR86c:32026
  3. [BVV78] BARTH (W.) and VAN DE VEN (A.). — Fano varieties of lines on hypersurfaces, Arch. Math., t. 31, 1978, p. 96-104. Zbl0383.14003MR80j:14004
  4. [Bel86] BELTRAMETTI (M.). — Contractions of non numerically effective extremal rays in dimension 4, Proc. Alg. Geom. Teubner, Texte Math., Berlin, Teubner, t. 92, 1986, p. 24-37. Zbl0619.14005MR89c:14064
  5. [Bo93a] BONAVERO (L.). — Inégalités de Morse holomorphes singulières, C.R. Acad. Sciences Paris, t. 317, série I, 1993, p. 1163-1166. Zbl0799.32023MR94i:32047
  6. [Bo93b] BONAVERO (L.). — Inégalités de Morse holomorphes singulières, Prépublication de l'Institut Fourier, t. 259, 1993, à paraître au Journal of Geometric Analysis. MR94i:32047
  7. [Bo95] BONAVERO (L.). — Inégalités de Morse et variétés de Moishezon, Thèse de Doctorat de l'Université J. Fourier (Grenoble 1), 1995. 
  8. [Bon95] BONAVERO (L.). — Sur des variétés de Moishezon dont le groupe de Picard est de rang un, C.R. Acad. Sciences Paris, t. 321, 1995, p. 443-446. Zbl0862.14022MR96g:32046
  9. [Cle83] CLEMENS (H.). — Homological equivalence, modulo algebraic equivalence, is not finitely generated, Inst. Haute Études Scient., t. 58, 1983, p. 19-38. Zbl0529.14002MR86d:14043
  10. [CKM88] CLEMENS (H.), KOLLÁR (J.) and MORI (S.). — Higher dimensional complex geometry, Astérisque, t. 166, 1988. Zbl0689.14016MR90j:14046
  11. [Dem85] DEMAILLY (J.-P.). — Champs magnétiques et inégalités de Morse pour la d″ cohomologie, Ann. Inst. Fourier, t. 35, 1985, p. 189-229. Zbl0565.58017MR87d:58147
  12. [JiS93] JI (S.) and SHIFFMAN (B.). — Properties of compact complex manifolds carrying closed positive currents, J. Geom. Anal., t. 3, n° 1, 1993, p. 37-61. Zbl0784.32009MR93m:32014
  13. [Kat86] KATZ (S.). — On the finiteness of rational curves on quintic threefolds, Comp. Math., t. 60, 1986, p. 151-162. Zbl0606.14039MR88a:14047
  14. [Kaw89] KAWAMATA (Y.). — Small contractions of four dimendional algebraic manifolds, Math. Ann., t. 284, 1989, p. 595-600. Zbl0661.14009MR91e:14039
  15. [KMM87] KAWAMATA (Y.), MATSUDA (K.) and MATSUKI (K.). — Introduction to the minimal model problem, Adv. Studies in Math., t. 10, 1987, p. 283-360. Zbl0672.14006MR89e:14015
  16. [KoO73] KOBAYASHI (S.) and OCHIAI (T.). — Characterizations of complex projective spaces and hyperquadrics, J. Math. Kyoto Univ., t. 13, 1973, p. 31-47. Zbl0261.32013MR47 #5293
  17. [Kol91] KOLLÁR (J.). — Flips, flops, minimal models, Surveys in Diff. Geom., t. 1, 1991, p. 113-199. Zbl0755.14003MR93b:14059
  18. [Laz84] LAZARSFELD (R.). — Some applications of the theory of positive bundles, Complete intersections (ed. S. Greco, R. Strano), Springer Lecture Notes, t. 1092, 1984, p. 29-61. Zbl0547.14009MR86d:14013
  19. [Moi67] MOISHEZON (B.). — On n dimensional compact varieties with n independent meromorphic functions, Amer. Math. Soc. Translations, t. 63, 1967, p. 51-177. Zbl0186.26204
  20. [Mor82] MORI (S.). — Threefolds whose canonical bundles are not numerically effective, Ann. of Math., t. 116, 1982, p. 133-176. Zbl0557.14021MR84e:14032
  21. [Ogu94] OGUISO (K.). — Two remarks on Calabi-Yau Moishezon threefolds, J. Reine angew. Math., t. 452, 1994, p. 153-161. Zbl0792.14022MR95f:32032
  22. [Pet91] PETERNELL (T.). — Ample vector bundles on Fano manifolds, Int. J. Math., t. 2, n° 3, 1991, p. 311-322. Zbl0744.14009MR92c:14038
  23. [Siu84] SIU (Y.-T.). — A vanishing theorem for semi-positive line bundles over non-Kähler manifolds, J. Diff. Geom., t. 19, 1984, p. 431-452. Zbl0577.32031MR86c:32029
  24. [Siu85] SIU (Y.-T.). — Some recent results in complex manifolds theory related to vanishing theorems for the semi-positive case, Lecture Note in Math., t. 1111, Springer-Verlag, Berlin, New York, 1985, p. 169-192. Zbl0577.32032MR87b:32055

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