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Bogomolov Instability and Kawamata-Viehweg Vanishing

Guillermo Fernandez del Busto
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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.

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Guillermo Fernandez del Busto. 1993-06-17. Bogomolov Instability and Kawamata-Viehweg Vanishing. https://arxiv.org/abs/alg-geom/9306006

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