Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (2): 305-311.

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Cohomology of Line Bundles on Hopf Surfaces

  


  1. 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);

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

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

CLC Number: