Bogomolov Instability and Kawamata-Viehweg Vanishing

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.

arXiv comment7 pages, LaTex

Cited by in corpus (1)

• A cohomological interpretation of Bogomolov's instability