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arXiv · 2009.02120

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 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.

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Annalisa Grossi, Claudio Onorati, Davide Cesare Veniani. 2020-09-04. Symplectic birational transformations of finite order on O'Grady's sixfolds. https://doi.org/10.1215/21562261-10577928

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