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On birational automorphisms of double EPW-cubes

Published 24 May 2024 in math.AG | (2405.15510v3)

Abstract: We give a classification of finite groups of symplectic birational automorphisms on a manifold of K3[3]-type with stable and stably saturated cohomological action. We describe the group of polarized automorphisms of a smooth double EPW-cube. Using this description, we exhibit examples of projective hyperkaehler manifolds of K3[3]-type of maximal Picard rank with a symplectic action of a large group.

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