On two moduli spaces of sheaves supported on quadric surfaces

2015/01/12 by Mario Maican, Maican, Mario
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1501.02556

openalex publication_date 2015/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the moduli space of semi-stable sheaves on a smooth quadric surface, having dimension 1, multiplicity 4, Euler characteristic 2, and first Chern class (2, 2), is the blow-up at two points of a certain hypersurface in a weighted projective space.

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