English

A cohomological interpretation of Bogomolov's instability

Algebraic Geometry 2011-12-08 v1

Abstract

We give a new proof of Bogomolov's instability theorem. Furthermore we prove that it is equivalent to a statement which characterizes when the first cohomology group of a suitable divisor does not vanish.

Keywords

Cite

@article{arxiv.1112.1445,
  title  = {A cohomological interpretation of Bogomolov's instability},
  author = {Gabriele Di Cerbo},
  journal= {arXiv preprint arXiv:1112.1445},
  year   = {2011}
}