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Bogomolov-Gieseker inequality and cohomology vanishing in characteristic $ p$


Author: Tohru Nakashima
Journal: Proc. Amer. Math. Soc. 123 (1995), 3609-3613
MSC: Primary 14J60; Secondary 14F17, 14J10
DOI: https://doi.org/10.1090/S0002-9939-1995-1291789-9
MathSciNet review: 1291789
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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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DOI: https://doi.org/10.1090/S0002-9939-1995-1291789-9
Article copyright: © Copyright 1995 American Mathematical Society

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