
arXiv: 2405.15510
AbstractWe give a classification of finite groups of symplectic birational automorphisms on manifolds of ‐type with stable cohomological action. We describe the group of polarized automorphisms of a smooth double EPW‐cube. Using this description, we exhibit examples of projective hyperkähler manifolds of –type of maximal Picard rank with a symplectic action of a large group.
Mathematics - Algebraic Geometry, Cycles and subschemes, 14J42, 14J50, 14J60, FOS: Mathematics, Surfaces and higher-dimensional varieties, Global differential geometry, Algebraic Geometry (math.AG)
Mathematics - Algebraic Geometry, Cycles and subschemes, 14J42, 14J50, 14J60, FOS: Mathematics, Surfaces and higher-dimensional varieties, Global differential geometry, Algebraic Geometry (math.AG)
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