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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Bogomolov-Gieseker inequality and cohomology vanishing in characteristic $p$
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by Tohru Nakashima PDF
Proc. Amer. Math. Soc. 123 (1995), 3609-3613 Request permission

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.
References
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • 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