Séminaire Algèbre Géométrie Algébrique Topologie Algébrique :

Le 21 novembre 2006 à 11:15 - salle 431

Présentée par Alvarez-Consul Luis - CSIC (Madrid)

Moduli of sheaves from moduli of Kronecker modules

I will explain how to view the construction of moduli spaces of semistable sheaves on a projective variety as a functorial embedding into more basic projective varieties, namely moduli spaces of semistable Kronecker modules. This sheds new light on how to construct `theta functions', i.e. natural projective coordinates on these moduli spaces. This is joint work with Alastair King. Preprint math.AG/0602032.