On the moduli space of semi-stable plane sheaves with Hilbert polynomial\n P(m)=6m+2

2011/09/18 by Mario Maican, Maican, Mario
Mathematics · #14D20 #14D22 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1109.3918

openalex publication_date 2011/09/18 · openalex created_date 2022/09/04 · openalex updated_date 2026/07/28

Abstract

We study the Simpson moduli space of semi-stable sheaves on the complex\nprojective plane that have dimension 1, multiplicity 6 and Euler characteristic\n2. We describe concretely these sheaves as cokernels of morphisms of locally\nfree sheaves and we stratify the moduli space according to the types of sheaves\nthat occur.\n

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