Automorphismes naturels de l'espace de Douady de points sur une surface

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We prove some general results concerning the size of the group of automorphisms of the Douady space of points on a surface. We then study some properties of the automorphisms coming from an automorphism of the surface, in particular their action on the cohomology and the classification of their fixed points.
In french. To appear in Canad. J. Math

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