Generic vanishing in characteristic p>0 and the geometry of theta divisors

Published 25 Sep 2020 in math.AG | (2009.12041v1)

Abstract: In this paper we prove a strengthening of the generic vanishing result in characteristic $p>0$ given in [HP16]. As a consequence of this result, we show that irreducible $\Theta$ divisors are strongly F-regular and we prove a related result for pluri-theta divisors.

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