Back to Algebraic Geometry Seminar: Fall 2013
Algebraic Geometry Seminar
Date: Tuesday, Oct 8, 2013
Time: 3:30PM - 4:30PM
Location: LCB 225
Christian Maritnez
University of Utah
Title |
Birational geometry of the Gieseker moduli of one-dimensional stable plane sheaves |
Abstract |
The moduli space of semistable one-dimensional plane sheaves N(r,\chi) is known to be an irreducible normal projective variety of dimension r^2+1 which is also locally factorial and a Mori-Dream space of Picard number p=2. It can be shown that N(r,\chi) is a moduli space of Bridgeland semistable objects for certain stability condition and that perturbing the stability condition corresponds to run a directed MMP on N(r,\chi). By using wall-crossing techniques we can describe the exceptional loci for “most” of the flips and the divisorial contraction as well as the final model. |
Algebraic Geometry