English

Bogomolov Instability and Kawamata-Viehweg Vanishing

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

The purpose of this note is to show how the Kawamata-Viehweg vanishing theorem for fractional divisors leads to a quick new proof of Bogomolov's instability theorem for rank two vector bundles on an algebraic surface.

Keywords

Cite

@article{arxiv.alg-geom/9306006,
  title  = {Bogomolov Instability and Kawamata-Viehweg Vanishing},
  author = {Guillermo Fernandez del Busto},
  journal= {arXiv preprint arXiv:alg-geom/9306006},
  year   = {2008}
}

Comments

7 pages, LaTex