paper

Symplectic birational transformations of finite order on O'Grady's sixfolds

arXiv:2009.02120 · doi:10.1215/21562261-10577928

Abstract

We prove that any symplectic automorphism of finite order on a manifold of type OG6 acts trivially on the Beauville--Bogomolov--Fujiki lattice and that any birational transformation of finite order acts trivially on its discriminant group. Moreover, we classify all possible invariant and coinvariant sublattices.

Final version, to appear on Kyoto J. Math

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