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arXiv:1107.1221 [math.AG]AbstractReferencesReviewsResources

Finiteness of K3 surfaces and the Tate conjecture

Max Lieblich, Davesh Maulik, Andrew Snowden

Published 2011-07-06, updated 2014-03-12Version 5

Given a finite field k of characteristic at least 5, we show that the Tate conjecture holds for K3 surfaces defined over the algebraic closure of k if and only if there are only finitely many K3 surfaces over each finite extension of k.

Comments: Final version
Categories: math.AG, math.NT
Subjects: 14G15, 14G10, 14J28
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