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

2009/05/27 by Samuel Boissière, Boissiere, Samuel
Mathematics · #14C05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0905.4367

openalex publication_date 2009/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Algebraic Families on an Algebraic Surface

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