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

Annalisa Grossi; Claudio Onorati; Davide Cesare Veniani

doi:10.1215/21562261-10577928

August 2023 Symplectic birational transformations of finite order on O’Grady’s sixfolds

Annalisa Grossi, Claudio Onorati, Davide Cesare Veniani

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Abstract

We prove that any symplectic automorphism of finite order on a manifold of type $OG 6$ 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.

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Annalisa Grossi, Claudio Onorati, and Davide Cesare Veniani "Symplectic birational transformations of finite order on O’Grady’s sixfolds," Kyoto Journal of Mathematics 63(3), 615-639, (August 2023). https://doi.org/10.1215/21562261-10577928

Received: 4 May 2021; Accepted: 25 October 2021; Published: August 2023

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