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The Cohomology of Line Bundles on Non-primary Hopf Manifolds 被引量:6

The Cohomology of Line Bundles on Non-primary Hopf Manifolds
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摘要 The purpose of the present paper is to give an elementary method for the computation of the cohomology groups Hq(X,Ω^p X(L)), (0 ≤q ≤ n) of an n-dimensional non-primary Hopf manifold X with arbitrary fundamental group. We use the method of Zhou to generalize the results for primary Hopf manifolds and non-primary Hopf manifold with an Abelian fundamental group. The purpose of the present paper is to give an elementary method for the computation of the cohomology groups Hq(X,Ω^p X(L)), (0 ≤q ≤ n) of an n-dimensional non-primary Hopf manifold X with arbitrary fundamental group. We use the method of Zhou to generalize the results for primary Hopf manifolds and non-primary Hopf manifold with an Abelian fundamental group.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第2期289-296,共8页 数学学报(英文版)
基金 supported by 973 Project Foundation of China and Outstanding Youth science Grant of NSFC(Grant No.19825105)
关键词 non-primary Hopf manifold COHOMOLOGY line bundles Douady sequence non-primary Hopf manifold, cohomology, line bundles, Douady sequence
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参考文献1

  • 1LIU Weiming & ZHOU XiangyuInstitute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China,Department of Mathematics, Zhejiang University, Hangzhou 310028, China.Line bundles on non-primary Hopf manifolds[J].Science China Mathematics,2004,47(4):538-551. 被引量:3

二级参考文献7

  • 1Marian Aprodu,Vasile Br?nz?nescu,Matei Toma.Holomorphic vector bundles on primary Kodaira surfaces[J].Mathematische Zeitschrift.2002(1)
  • 2Daniel Mall.Filtrable bundles of rank 2 on Hopf surfaces[J].Mathematische Zeitschrift.1993(1)
  • 3Daniel Mall.On holomorphic vector bundles on Hopf manifolds with trivial pullback on the universal covering[J].Mathematische Annalen.1992(1)
  • 4Krzysztof D?browski.Moduli spaces for Hopf surfaces[J].Mathematische Annalen.1982(2)
  • 5Wehler,J.Versal deformation of Hopf surfaces, J.Reine. Angew[].Mathematica Journal.1981
  • 6Dabrowski,K.Moduli spaces for Hopf surfaces, Math[].Annales.1982
  • 7Aprodu,M.Holomorphic vector bundles on primary Kodaia surfaces[].Mathematische Zeitschrift.2002

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