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arXiv · 2405.15510

On birational automorphisms of double EPW-cubes

Simone Billi·Stevell Muller·Tomasz Wawak
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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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Simone Billi, Stevell Muller, Tomasz Wawak. 2024-05-24. On birational automorphisms of double EPW-cubes. https://arxiv.org/abs/2405.15510

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