Algebraicity of formal varieties and positivity of vector bundles

被引：0

作者：

Huayi Chen

机构：

[1] Université Paris Diderot Paris 7,Institut de Mathématiques de Jussieu

来源：

Mathematische Annalen | 2012年 / 354卷

关键词：

14G05; 14G40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We propose a positivity condition for vector bundles on a projective variety and prove an algebraicity criterion for formal schemes. Then we apply the algebraicity criterion to the study of formal principle in algebraic geometry.

引用

页码：171 / 192

页数：21

共 50 条

[41] VECTOR BUNDLES OF FINITE RANK OVER INFINITE VARIETIES
TJURIN, AN
MATHEMATICS OF THE USSR-IZVESTIYA, 1976, 10 (06): : 1187 - 1204
[42] Ample vector bundles on singular varieties .2.
Zhang, Q
MATHEMATISCHE ANNALEN, 1997, 307 (03) : 505 - 509
[43] VALUATIVE CRITERIA FOR FAMILIES OF VECTOR BUNDLES ON ALGEBRAIC VARIETIES
LANGTON, SG
ANNALS OF MATHEMATICS, 1975, 101 (01) : 88 - 110
[44] Ample vector bundles with sections vanishing on special varieties
Andreatta, M
Occhetta, G
INTERNATIONAL JOURNAL OF MATHEMATICS, 1999, 10 (06) : 677 - 696
[45] Semi-stable vector bundles on fibred varieties
Halic M.
European Journal of Mathematics, 2018, 4 (4) : 1297 - 1339
[46] SPLITTING CRITERIA FOR VECTOR BUNDLES ON MINUSCULE HOMOGENEOUS VARIETIES
M. HALIC
Transformation Groups, 2017, 22 : 753 - 765
[47] Holomorphic functions and vector bundles on coverings of projective varieties
Bogomolov, Fedor
De Oliveira, Bruno
ASIAN JOURNAL OF MATHEMATICS, 2005, 9 (03) : 295 - 314
[48] ON THE FIELD OF DEFINITION OF VECTOR-BUNDLES ON REAL VARIETIES
BALLICO, E
GEOMETRIAE DEDICATA, 1993, 47 (03) : 317 - 325
[49] AUTOMORPHIC VECTOR-BUNDLES ON CONNECTED SHIMURA VARIETIES
MILNE, JS
INVENTIONES MATHEMATICAE, 1988, 92 (01) : 91 - 128
[50] AFFINE VARIETIES WITH STABLY TRIVIAL ALGEBRAIC VECTOR BUNDLES
Jelonek, Zbigniew
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (09) : 3105 - 3109

← 1 2 3 4 5 →