Bogomolov-Gieseker inequality and cohomology vanishing in characteristic 𝑝

Nakashima, Tohru

doi:10.1090/S0002-9939-1995-1291789-9

Bogomolov-Gieseker inequality and cohomology vanishing in characteristic $p$
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by Tohru Nakashima

Proc. Amer. Math. Soc. 123 (1995), 3609-3613

DOI: https://doi.org/10.1090/S0002-9939-1995-1291789-9

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Abstract:

We prove an analogue of the Bogomolov-Gieseker inequality for rank-two bundles on varieties defined over a field of positive characteristic. We derive from this some vanishing results for cohomology of line bundles.

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