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Comptes Rendus Mathématique
Volume 351, n° 13-14
pages 561-564 (juillet 2013)
Doi : 10.1016/j.crma.2013.07.020
Received : 25 April 2013 ;  accepted : 24 July 2013
On natural deformations of symplectic automorphisms of manifolds of   type
Déformations naturelles des automorphismes symplectiques sur les variétés de type  
 

Giovanni Mongardi
 Mathematisches Institut der Universität Bonn, Endenicher Allee, 60, 53115 Bonn, Germany 

Abstract

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

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Résumé

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

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