On natural deformations of symplectic automorphisms of manifolds of K3^[n] type

Abstract

In the present paper we prove that finite symplectic groups of automorphisms of manifolds of k3^[n] type can be obtained by deforming natural morphisms arising from K3 surfaces if and only if they satisfy a certain numerical condition.

References in corpus (1)

• Hodge theory and Lagrangian planes on generalized Kummer fourfolds

Cited by in corpus (12)

• Induced Automorphisms on Irreducible Symplectic Manifolds
• Finite groups of symplectic automorphisms of hyperkähler manifolds of type $K{3}^{[2]}$
• Symplectic birational transformations of finite order on O'Grady's sixfolds
• On the nonsymplectic involutions of the Hilbert square of a K3 surface
• Towards a classification of symplectic automorphisms on manifolds of $K{3}^{[n]}$ type
• Integral cohomology of quotients via toric geometry
• Symplectic involutions of $K{3}^{[n]}$ type and Kummer $n$ type manifolds
• Automorphisms of generalised Kummer fourfolds
• Brane involutions on irreducible holomorphic symplectic manifolds
• Integral cohomology of the Generalized Kummer fourfold
• Isometries of ideal lattices and hyperkähler manifolds
• Non-symplectic involutions on manifolds of $K{3}^{[n]}$-type