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Sections du fibre determinant sur l'espace de modules des faisceaux semi-stables de rang 2 sur le plan projectif

1999/04/01 by Gentiana Danila, Danila, Gentiana
Mathematics · #14D20 #14F05 #14J60 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14D20 #msc:14F05 #msc:14J60

paper · pdf · doi:10.48550/arxiv.math/9904003

38 pages, part of PhD thesis

arxiv created 1999/04/01 · openalex publication_date 1999/04/01 · arxiv updated 2009/11/30 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We provide supporting examples to Le Potier's Strange duality conjecture, in the case of the moduli space M of rank 2 semi-stable sheaves on the projective plane, with even first Chern class, and second Chern class less or equal to 19. We compute in this case the dimension of the space of global sections of the determinant bundle on M.

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