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Generic vanishing fails for surfaces in positive characteristic

Generic vanishing fails for surfaces in positive characteristic We show that there exist smooth surfaces violating Generic Vanishing in any characteristic $$p \ge 3$$ p ≥ 3 . As a corollary, we recover a result of Hacon and Kovács, producing counterexamples to Generic Vanishing in dimension 3 and higher. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bollettino dell'Unione Matematica Italiana Springer Journals

Generic vanishing fails for surfaces in positive characteristic

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References (28)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Unione Matematica Italiana
Subject
Mathematics; Mathematics, general
ISSN
1972-6724
eISSN
2198-2759
DOI
10.1007/s40574-017-0120-6
Publisher site
See Article on Publisher Site

Abstract

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

Journal

Bollettino dell'Unione Matematica ItalianaSpringer Journals

Published: Apr 5, 2017

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