| Home › Appuntamenti › On the geometry of contractions of the Moduli Space of sheav [...] | IT|EN |
On the geometry of contractions of the Moduli Space of sheaves of a K3 surface
Diletta Martinelli (Edinburgh)
Sala Riunioni al piano C - Martedì 27 Marzo 2018 h.16:30
Abstract. I will describe how recent advances have made possible to study the birational geometry of hyperkaehler varieties of K3-type using the machinery of wall-crossing and stability conditions on derived categories as developed by Tom Bridgeland. In particular Bayer and Macrì relate birational transformations of the moduli space M of sheaves of a K3 surface X to wall-crossing in the space of Bridgeland stability conditions Stab(X).
I will explain how it is possible to refine their analysis to give a precise description of the geometry of the exceptional locus of any birational contractions of M.
Università degli Studi di Pavia -
Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602