Restriction theorems for principal bundles

被引：8
|
作者：
Biswas, I
Gómez, TL
机构：
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
[2] Univ Complutense Madrid, Fac Ciencias Matemat, Dept Algebra, E-28040 Madrid, Spain
来源：
MATHEMATISCHE ANNALEN | 2003年 / 327卷 / 04期
关键词：
D O I：
10.1007/s00208-003-0471-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let E be a semistable (or stable) principal bundle over a smooth complex projective variety X, and let Dsubset ofX be a complete intersection. We study the (semi)stability of the restriction E|(D). Some of the results known for vector bundles, such as Grauert-Mulich, Flenner and Mehta-Ramanathan theorems, are generalized to principal bundles.
引用
收藏
页码：773 / 792
页数：20
相关论文
共 50 条
  • [1] Restriction theorems for principal bundles
    Indranil Biswas
    Tomás L. Gómez
    Mathematische Annalen, 2003, 327 : 773 - 792
  • [2] Restriction theorems for Higgs principal bundles
    Biswas, Indranil
    Dey, Arijit
    BULLETIN DES SCIENCES MATHEMATIQUES, 2011, 135 (03): : 251 - 261
  • [3] Restriction theorems for principal bundles in arbitrary characteristic
    Gurjar, Sudarshan
    JOURNAL OF ALGEBRA, 2015, 426 : 79 - 91
  • [4] Restriction theorems for homogeneous bundles
    Mehta, V. B.
    Trivedi, V.
    BULLETIN DES SCIENCES MATHEMATIQUES, 2007, 131 (04): : 397 - 404
  • [5] ON SOME RESTRICTION-THEOREMS FOR SEMISTABLE BUNDLES
    MEHTA, VB
    LECTURE NOTES IN MATHEMATICS, 1983, 996 : 145 - 153
  • [6] Principal bundles whose restriction to curves are trivial
    Indranil Biswas
    Yogish I. Holla
    Mathematische Zeitschrift, 2005, 251 : 607 - 614
  • [7] Principal bundles whose restriction to curves are trivial
    Biswas, I
    Holla, YI
    MATHEMATISCHE ZEITSCHRIFT, 2005, 251 (03) : 607 - 614
  • [8] Restriction theorems for vector bundles via the methods of Roth and Strano
    Coanda, I
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1997, 487 : 1 - 25
  • [9] Diffeological principal bundles and principal infinity bundles
    Minichiello, Emilio
    JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 2024, 19 (02) : 181 - 237
  • [10] RESTRICTION-THEOREMS FOR STABLE RANK 3 VECTOR-BUNDLES ON IPN
    EIN, L
    HARTSHORNE, R
    VOGELAAR, H
    MATHEMATISCHE ANNALEN, 1982, 259 (04) : 541 - 569
12345