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arXiv:math/9808103 [math.AG]AbstractReferencesReviewsResources

Vanishing theorems and universal coverings of projective varieties

Fedor Bogomolov

Published 1998-08-24Version 1

This article contains a new argument which proves vanishing of the first cohomology for negative vector bundles over a complex projective variety if the rank of the bundle is smaller than the dimension of the base. Similar argument is applied to the construction of holomorphic functions on the universal covering of the complex projective variety .

Comments: 6 pages, AMSTeX
Categories: math.AG
Subjects: 14F17, 32E05
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