一类Hopf曲面上的全纯线丛的上同调

数学季刊 ›› 2007, Vol. 22 ›› Issue (2): 305-311.

一类Hopf曲面上的全纯线丛的上同调

1. Department of Mathematics and Physics, Beijing Institute of Petroehemical Technology 2. Department of Mathematics, Xuzhou Normal University 3. Department of Information and Automation, Air Force Radar Academy

收稿日期:2005-01-14 出版日期:2007-06-30 发布日期:2023-11-07
作者简介:LIU Wei-ming(1965-),male,native of Huaian,Jiangsu,an anoociate profeacor of Beijing Institute of Petrochemical Technology,Ph.D.,engages in several complex variables and complex geometry.
基金资助:
Supported by NNSF(10171068)； Supported by Beijing Excellent Talent Grant(20042D0500509)；

Cohomology of Line Bundles on Hopf Surfaces

1. Department of Mathematics and Physics, Beijing Institute of Petroehemical Technology 2. Department of Mathematics, Xuzhou Normal University 3. Department of Information and Automation, Air Force Radar Academy

Received:2005-01-14 Online:2007-06-30 Published:2023-11-07
About author:LIU Wei-ming(1965-),male,native of Huaian,Jiangsu,an anoociate profeacor of Beijing Institute of Petrochemical Technology,Ph.D.,engages in several complex variables and complex geometry.
Supported by:
Supported by NNSF(10171068)； Supported by Beijing Excellent Talent Grant(20042D0500509)；

摘要/Abstract

摘要： Let X be a non-primary Hopf Surface with Abelian fundamental groupπ, L_a line bundle on X, we give a formula for computing the dimension of cohomology H^q(X,Ω^P(L)) and the explicit results for non-primary exceptional Hopf surface.

关键词: Hopf surface, cohomology, line bundle, gections

Abstract: Let X be a non-primary Hopf Surface with Abelian fundamental groupπ, L_a line bundle on X, we give a formula for computing the dimension of cohomology H^q(X,Ω^P(L)) and the explicit results for non-primary exceptional Hopf surface.

Key words: Hopf surface, cohomology, line bundle, gections

中图分类号:

O174.56

刘伟明, 苏简兵, 魏文斌. 一类Hopf曲面上的全纯线丛的上同调[J]. 数学季刊, 2007, 22(2): 305-311.

LIU Wei-ming, SU Jian-bing, WEI Wen-bin. Cohomology of Line Bundles on Hopf Surfaces[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(2): 305-311.

[1]	侯波, 扣雯. 一类 Gerstenhaber 代数的构造[J]. 数学季刊, 2023, 38(4): 370-378.
[2]	高谨, 侯波. 自入射二次领关系代数的 Hochschild 的上同调上的 Batalin-Vilkovisky 结构[J]. 数学季刊, 2021, 36(3): 320-330.
[3]	贾玲. 偏缠绕结构的上同调[J]. 数学季刊, 2019, 34(1): 66-74.
[4]	王志成. 正合范畴中的Gorenstein性和Tate上同调[J]. 数学季刊, 2015, 30(1): 79-92.