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arXiv · 1212.5477

Analytic moduli spaces of simple sheaves on families of integral curves

Igor Burban·Bernd Kreussler
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Abstract

We prove the existence of fine moduli spaces of simple coherent sheaves on families of irreducible curves. Our proof is based on the existence of a universal upper bound of the Castelnuovo-Mumford regularity of such sheaves, which we provide.

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Igor Burban, Bernd Kreussler. 2012-12-21. Analytic moduli spaces of simple sheaves on families of integral curves. https://arxiv.org/abs/1212.5477

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