Analytic moduli spaces of simple sheaves on families of integral curves
classification
🧮 math.AG
keywords
sheavescurvesexistencefamiliesmodulisimplespacesanalytic
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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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