On birational automorphisms of double EPW-cubes

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...

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Bibliographic Details
Published in:arXiv.org 2024-06
Main Authors: Billi, Simone, Muller, Stevell, Wawak, Tomasz
Format: Article
Language:English
Subjects:
Automorphisms
Cubes
Group theory
Manifolds
Online Access:Get full text
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Summary: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.
ISSN:2331-8422