Analytic moduli spaces of simple sheaves on families of integral curves

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.

arXiv commenttypos corrected, final version, to appear in Mathematischen Nachrichten

References in corpus (3)

• Notes on Grothendieck topologies, fibered categories and descent theory
• Stability data and t-structures on a triangulated category
• Classical Yang-Baxter equation and the $A_{\infty }$-constraint