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On the geometry of the moduli space of sheaves supported on curves of genus two in a quadric surface (1706.00876v1)
Published 2 Jun 2017 in math.AG
Abstract: We study the moduli space of stable sheaves of Euler characteristic 2, supported on curves of arithmetic genus 2 contained in a smooth quadric surface. We show that this moduli space is rational. We compute its Betti numbers and we give a classification of the stable sheaves involving locally free resolutions.
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