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Hopf流形上线丛的上同调群 被引量:1

The cohomology group of holomorphic line bundles on Hopf manifolds
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摘要 证明了Hopf流形(主的或非主的)上的线丛都是平坦的,并求出了hq(X,ΩpX(L)):=dimHq(X,ΩpX(L)),其中X为(主的或非主的)Hopf流形,L∈Pic(X).  In the present paper,one showed that all line bundles on an arbitrary Hopf manifold is flat,and claculated h^q(X,ΩX^p(L)):dimH^q(X,ΩX^p(L)) for an arbitrary Hopf manifold X which is not necessarily primary,where L∈Pic(X).
作者 赵玲
出处 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2007年第3期12-16,共5页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10071051) 北京市自然科学基金资助项目(1002004)
关键词 HOPF流形 线丛 上同调群 Hopf manifold line bundle cohomology group
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参考文献6

  • 1K KODAIRA. On the structure of compact oomplex analytic surfaces, I [J].Am J Math, 1964,86: 751.
  • 2K KODAIRA. On the structure of compart analytis surfaces Ⅱ[J].Am J Math, 1966,88:682-721.
  • 3D MALL.The cohomology of line bundles on Hopf manifolds[J] .Osaka J Math,1991,28:999-1 015.
  • 4LIU WEIMING. Holomorphic vector bundles on non-primary Hopf manifolds[M]. Beijing:Ph D Thesis,2003.
  • 5XI.ANG-YU ZHOU. A remark on the douady sequence for non-primary Hopf manifolds[J ]. Asian J Math,2004,8(1):131-136.
  • 6A HAEFLIGER. Deformations of transversely holomorphic flows on spheres and deformations of Hopf manifolds[J]. Compos Math, 1985,55:241-251.

同被引文献6

  • 1吴美云.一类无限维Hopf代数的构造[J].吉林大学学报(理学版),2007,45(3):385-388. 被引量:1
  • 2Caenepeel S, Van Oystaeyen F, ZHOU Bo-rou. Making the Category of Doi-Hopf Modules into a Braided Monoidal Category [J]. Algebras and Representation Theory, 1998, 1 ( 1 ) : 75-96.
  • 3Dokuchaev M, Exel R, Piccione P. Partial Representations and Partial Group Algebras [ J ]. J Algebra, 2000, 226 ( 1 ) : 505 -532.
  • 4Caenepeel S, De Groot E. Corings Applied to Partial Galois Theory [ C ]//Proceedings of the International Conference on Mathematics and Applications, ICMA 2004. Kuwait: Kuwait University, 2005 : 117-134.
  • 5Exel R. Twisted Partial Actions: a Classification of Regular C^* -Algebraic Bundles [ J]. Proc London Math Soc, 1997, 74(2) : 417-443.
  • 6贾玲,姜秀燕.缠绕模的辫子范畴[J].数学物理学报(A辑),2009,29(5):1307-1310. 被引量:2

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