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arXiv · 1310.2996

Generic vanishing in characteristic $p>0$ and the characterization of ordinary abelian varieties

Christopher D. Hacon·Zsolt Patakfalvi
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Abstract

We prove a generic vanishing type statement in positive characteristic and apply it to prove positive characteristic versions of Kawamata's theorems: a characterization of smooth varieties birational to ordinary abelian varieties and the surjectivity of the Albanese map when the Frobenius stable Kodaira dimension is zero.

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Christopher D. Hacon, Zsolt Patakfalvi. 2014-02-20. Generic vanishing in characteristic $p>0$ and the characterization of ordinary abelian varieties. https://arxiv.org/abs/1310.2996

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