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Resultats sur la dualite etrange sur le plan projectif

2000/04/11 by Gentiana Danila, Danila, Gentiana
Mathematics · #14D20 #14F05 #14J60 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematics and Applications #math.AG #msc:14D20 #msc:14F05 #msc:14J60

paper · pdf · doi:10.48550/arxiv.math/0004068

Latex, 27 pages, part of PhD thesis

arxiv created 2000/04/11 · openalex publication_date 2000/04/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the dimensions of spaces of sections of all powers of the Donaldson determinant bundle on the moduli space of rank 2 semi-stable sheaves on the projective plane, with zero first Chern class, and second Chern class equal to 3 or 4. We prove Le Potier's strange duality conjecture in some cases.

Citations

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