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arXiv · 1608.07874

Generic Vanishing Fails for Surfaces in Positive Characteristic

Stefano Filipazzi
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Abstract

We show that there exist smooth surfaces violating Generic Vanishing in any characteristic $p \geq 3$. As a corollary, we recover a result of Hacon and Kov\'acs, producing counterexamples to Generic Vanishing in dimension 3 and higher.

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Stefano Filipazzi. 2016-08-29. Generic Vanishing Fails for Surfaces in Positive Characteristic. https://doi.org/10.1007/s40574-017-0120-6

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