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Analytic moduli spaces of simple sheaves on families of integral curves |
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| Authors: | Igor Burban Bernd Kreußler |
| Institution: | 1. Universit?t zu K?ln, Mathematisches Institut, , 50931 K?ln, Germany;2. +353 61 204578+353 61 313632;3. Mary Immaculate College, South Circular Road, , Limerick, Ireland |
| 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. |
| Keywords: | Moduli spaces sheaves on singular curves Castelnuovo– Mumford regularity 14D20 14H60 32G13 |