2009/04/15 by Jean–Marc Drézet, Jean-Marc Drezet, Drezet, Jean-Marc
Mathematics · #14D20 #14H60 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14D20 #msc:14H60
paper · pdf · doi:10.48550/arxiv.0904.2336
26 pages
arxiv created 2009/04/15 · openalex publication_date 2009/04/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give sufficient conditions for the (semi-)stability of torsion free sheaves on a primitive multiple curve. These conditions are used to prove that some moduli spaces of stable sheaves are not empty. We study mainly the quasi locally free sheaves of generic type (this includes the locally free sheaves). These sheaves are generic, i.e. for every moduli space of torsion free sheaves, the sheaves of this type correspond to an open subset of the moduli space.