The Cohomology of Line Bundles on Non.primary Hopf Manifolds

Authors
Gan, Ning Zhou, Xiang Yu
Citation
Gan, Ning et Zhou, Xiang Yu, The Cohomology of Line Bundles on Non.primary Hopf Manifolds, Acta mathematica Sinica. English series (Print) , 23(2), 2007, pp. 289-296
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
2
Year of publication
2007
Pages
289 - 296
Database
ACNP
SICI code
Abstract
The purpose of the present paper is to give an elementary method for the computation of the cohomology groups Hq(X,.pX(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.