The Cohomology of vector, bundles on general non-primary Hopf manifolds

被引:0
|
作者
Gan, Ning [1 ]
Zhou, Xiang-Yu [1 ]
机构
[1] Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
关键词
non-primary Hopf manifold; cohomology; vector bundles; Douady sequence;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Assume E is a holomorphic vector bundle of rank r on general non-primary Hopf manifolds with a holornorphically trivial pullback pi(*) (E) congruent to O-W(r). Using the method of group action, we get the formula for computing dimensions of cohomology of E.
引用
收藏
页码:107 / 115
页数:9
相关论文
共 50 条
  • [1] The cohomology of line bundles on non-primary Hopf manifolds
    Gan, Ning
    Zhou, Xiang Yu
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (02) : 289 - 296
  • [2] The Cohomology of Line Bundles on Non-primary Hopf Manifolds
    Ning GAN
    Xiang Yu ZHOU
    ActaMathematicaSinica(EnglishSeries), 2007, 23 (02) : 289 - 296
  • [3] The Structure of Vector Bundles on Non-primary Hopf Manifolds
    Gan, Ning
    Zhou, Xiangyu
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2020, 41 (06) : 929 - 938
  • [4] The Structure of Vector Bundles on Non-primary Hopf Manifolds
    Ning GAN
    Xiangyu ZHOU
    Chinese Annals of Mathematics,Series B, 2020, (06) : 929 - 938
  • [5] The Structure of Vector Bundles on Non-primary Hopf Manifolds
    Ning Gan
    Xiangyu Zhou
    Chinese Annals of Mathematics, Series B, 2020, 41 : 929 - 938
  • [6] Some Results of Holomorphic Vector Bundles on Non-primary Hopf Manifolds
    周向宇
    刘伟明
    数学进展, 2003, (02) : 246 - 248
  • [7] Line bundles on non-primary Hopf manifolds
    Weiming Liu
    Xiangyu Zhou
    Science in China Series A: Mathematics, 2004, 47 : 538 - 551
  • [8] Line bundles on non-primary Hopf manifolds
    Liu, WM
    Zhou, XY
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2004, 47 (04): : 538 - 551
  • [9] Line bundles on non-primary Hopf manifolds
    LIU Weiming & ZHOU XiangyuInstitute of Mathematics
    Department of Mathematics
    Science China Mathematics, 2004, (04) : 538 - 551
  • [10] The Cohomology of Line Bundles on Non–primary Hopf Manifolds
    Ning Gan
    Xiang Yu Zhou
    Acta Mathematica Sinica, English Series, 2007, 23 : 289 - 296