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 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.
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.
Abstract
We prove that any symplectic automorphism of finite order on a manifold of type 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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