Vanishing theorems and universal coverings of projective varieties

Details Vanishing theorems and universal coverings of projective varieties Vanishing theorems and universal coverings of projective varieties

1998-08-24

arxiv.org/abs/math/9808103v1

Mathematics

Algebraic Geometry

6 pages, AMSTeX

Scientific paper

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 .

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