Some properties of positive line bundles on 1-convex complex analytic spaces

Alessandro Silva

Rendiconti del Seminario Matematico della Università di Padova (1980)

  • Volume: 63, page 61-68
  • ISSN: 0041-8994

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Silva, Alessandro. "Some properties of positive line bundles on 1-convex complex analytic spaces." Rendiconti del Seminario Matematico della Università di Padova 63 (1980): 61-68. <http://eudml.org/doc/107780>.

@article{Silva1980,
author = {Silva, Alessandro},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {embedding of strongly 1-convex space; Andreotti-Tomassini vanishing theorem},
language = {eng},
pages = {61-68},
publisher = {Seminario Matematico of the University of Padua},
title = {Some properties of positive line bundles on 1-convex complex analytic spaces},
url = {http://eudml.org/doc/107780},
volume = {63},
year = {1980},
}

TY - JOUR
AU - Silva, Alessandro
TI - Some properties of positive line bundles on 1-convex complex analytic spaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1980
PB - Seminario Matematico of the University of Padua
VL - 63
SP - 61
EP - 68
LA - eng
KW - embedding of strongly 1-convex space; Andreotti-Tomassini vanishing theorem
UR - http://eudml.org/doc/107780
ER -

References

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  1. [1] A. Andreotti - H. GRAUERT, Théorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France, 90 (1962), pp. 193-259. Zbl0106.05501MR150342
  2. [2] A. Andreotti - G. TOMASSINI, A remark on the vanishing of certain cohomology groups, Comp. Math., 21 (1969), pp. 412-430. Zbl0186.14101MR261031
  3. [3] S. Eto - H. Kazama - K. Watanabe, On strongly q-pseudoconvex spaces with positive vector bundles, Mem. Fac. Sc., Kyushu Univ., ser. A, 28 (1974), pp. 135-146. Zbl0297.32012MR364681
  4. [4] H. Grauert, Über Modifikationen und exzeptionelle analytische Mengen, Math. Ann., 146 (1962), pp. 331-368. Zbl0173.33004MR137127
  5. [5] H. Grauert - R. REMMERT, Bilder und Urbilder Analytiseher Garben, Ann. of Math., 68 (1958), pp. 393-443. Zbl0089.06003MR102612
  6. [6] A. Grothendieck, in Sem. Cartan13, 1960-61, Familles d'espaces complexes et fondements de la Géometrie Analytique. 
  7. [7] K. Knorr - M. Schneider, Relativexzeptionelle analytische Mengen, Math. Ann., 193 (1971), pp. 238-254. Zbl0222.32008MR293129
  8. [8] D. Lieberman - H. Rossi, Deformations of strongly pseudoconvex manifolds, Preprint (1975). Zbl0391.32013MR590096
  9. [9] J. Morrow - H. Rossi, Some theorems on algebraicity of complex spaces, J. Math. Soc. Japan, 27 (1975), pp. 167-183. Zbl0306.32003MR407326
  10. [10] A. Silva, Embedding strongly (1, 1)-convex concave spaces in CN × CPM, Proc. Symposia AMS in Pure Math., 30 (1976), pp. 41-44. Zbl0366.32006MR445008
  11. [11] A.J. Sommese, On manifold that cannot be ample divisors, Math. Annalen, 221 (1976), pp. 55-72. Zbl0306.14006MR404703

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