A cohomological interpretation of Bogomolov’s instability

Di Cerbo, Gabriele

doi:10.1090/S0002-9939-2013-11621-7

A cohomological interpretation of Bogomolov’s instability
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Proc. Amer. Math. Soc. 141 (2013), 3049-3053 Request permission

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.

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