A duality result for moduli spaces of semistable sheaves supported on projective curves

We show that the moduli space of semistable G-bundles on an elliptic curve for a reductive group G is isomorphic to a power of the elliptic curve modulo a certain Weyl group

It is known (see [5], [1]) that the universal plane cubic curve may be identified with the fine Simpson moduli space of stable coherent sheaves on P 2 with Hilbert polynomial 3m +

Simpson showed existence of a moduli space M that classifies semistable sheaves (with some fixed invariants) on a projective scheme.. We are interested in pure 1-dimensional sheaves

University of Luxembourg, Campus Kirchberg, Mathematics Research Unit, 6, rue Richard Coudenhove-Kalergi, L-1359 Luxembourg City, Grand Duchy of Luxembourg. E-mail

In the case of the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics, the subvariety of sheaves that are not locally free on their support is con-

A global description of the fine Simpson moduli space of 1-dimensional sheaves supported on plane quartics1.

A global description of the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics is given: we describe the gluing of the Brill-Noether loci described by

[3] , On the singular sheaves in the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics, ArXiv e-prints (2013).. GAeL XXI,