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arXiv · 1706.00876

On the geometry of the moduli space of sheaves supported on curves of genus two in a quadric surface

Mario Maican
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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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Mario Maican. 2017-06-02. On the geometry of the moduli space of sheaves supported on curves of genus two in a quadric surface. https://arxiv.org/abs/1706.00876

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