Vanishing theorems and universal coverings of projective varieties

Fedor Bogomolov

Vanishing theorems and universal coverings of projective varieties

Algebraic Geometry 2007-05-23 v1

Authors: Fedor Bogomolov

Abstract

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 .

Keywords

vanishing theorem projective variety negative vector bundle first cohomology universal covering holomorphic function

Cite

@article{arxiv.math/9808103,
  title  = {Vanishing theorems and universal coverings of projective varieties},
  author = {Fedor Bogomolov},
  journal= {arXiv preprint arXiv:math/9808103},
  year   = {2007}
}

Comments

6 pages, AMSTeX

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