Annalisa Grossi, C. Onorati, Davide Cesare Veniani
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Symplectic birational transformations of finite order on O’Grady’s sixfolds
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.