On natural deformations of symplectic automorphisms of manifolds of $ K{3}^{[n]}$ type

Giovanni Mongardi

doi:10.1016/j.crma.2013.07.020

Algebraic Geometry

On natural deformations of symplectic automorphisms of manifolds of

K 3^{[n]}

type

Presented by: Claire Voisin

Giovanni Mongardi ¹

¹ Mathematisches Institut der Universität Bonn, Endenicher Allee, 60, 53115 Bonn, Germany

Comptes Rendus. Mathématique, Volume 351 (2013) no. 13-14, pp. 561-564.

Abstract
Résumé

In the present paper, we prove that finite symplectic groups of automorphisms of manifolds of $K 3^{[n]}$ type can be obtained by deforming natural morphisms arising from K3 surfaces if and only if they satisfy a certain numerical condition.

Dans cette étude, on démontre que tout groupe dʼordre fini des automorphismes symplectiques sur les variétés de type $K 3^{[n]}$ sʼobtient comme déformation des automorphismes naturels provenant dʼune surface K3 si et seulement si il satisfait une certaine condition numérique.

Received: 2013-04-25
Accepted: 2013-07-24
Published online: 2013-07-01

DOI: 10.1016/j.crma.2013.07.020

Author's affiliations:

Giovanni Mongardi ¹

¹ Mathematisches Institut der Universität Bonn, Endenicher Allee, 60, 53115 Bonn, Germany

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Giovanni Mongardi. On natural deformations of symplectic automorphisms of manifolds of $ K{3}^{[n]}$ type. Comptes Rendus. Mathématique, Volume 351 (2013) no. 13-14, pp. 561-564. doi : 10.1016/j.crma.2013.07.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.07.020/

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