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arXiv · 2105.09395

Moduli spaces of slope-semistable pure sheaves

Mihai Pavel
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Abstract

We construct a moduli space of slope-semistable pure sheaves, building upon previous work of Le Potier and Jun Li on torsion-free sheaves over smooth surfaces. In particular, our construction provides a compactification of the Simpson moduli space of slope-stable reflexive sheaves. We also prove an effective restriction theorem for slope-(semi)stable pure sheaves following an approach due to Langer.

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Mihai Pavel. 2021-05-19. Moduli spaces of slope-semistable pure sheaves. https://arxiv.org/abs/2105.09395

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