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arXiv · 1612.03566

Moduli 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 1, supported on curves of arithmetic genus 2 contained in a smooth quadric surface. We show that this moduli space is rational. We give a classification of the stable sheaves involving locally free resolutions or extensions. We compute the Betti numbers by studying the variation of the moduli spaces of alpha-semi-stable pairs.

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Mario Maican. 2016-12-12. Moduli of sheaves supported on curves of genus two in a quadric surface. https://arxiv.org/abs/1612.03566

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