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

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.

arXiv commentFinal version, to appear on Kyoto J. Math

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Cited by in corpus (2)

• Induced birational transformations on O'Grady's sixfolds
• Symplectic rigidity of O'Grady's tenfolds