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Line bundles on non-primary Hopf manifolds 被引量:3

Line bundles on non-primary Hopf manifolds
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摘要 Let X be a Hopf manifolds with Abelian fundamental group, L any flat line bundle on X, we give a formula for computing explicitly the cohomology Hq(X, Ωp(L) using the method of group action and the generalized Douady sequence. LetX be a Hopf manifolds with Abelian fundamental group,L any flat line bundle onX, we give a formula for computing explicitly the cohomologyH q(X, Ωp(L) using the method of group action and the generalized Douady sequence.
出处 《Science China Mathematics》 SCIE 2004年第4期538-551,共14页 中国科学:数学(英文版)
关键词 HOPF surface cohomology LINE bundle sections. Hopf surface cohomology line bundle sections
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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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