Analytic moduli spaces of simple sheaves on families of integral curves (Pre-print version)

2018-11-232018-11-232013I. Burban, B. Kreussler. 'Analytic moduli spaces of simple sheaves on families of integral curves.' Mathematische Nachricten 287(2-3), pp. 173-183. DOI: 10.1002/mana.201200355.http://hdl.handle.net/10395/2433Analytic moduli spaces of simple sheaves on families of integral curvesWe 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.enghttps://doi.org/10.1002/mana.201200355AnalyticModuliSpacesSheavesFamiliesIntegralCurvesAnalytic moduli spaces of simple sheaves on families of integral curves (Pre-print version)Article10.1002/mana.201200355