Seminari del Dipartimento
Geometria Reconstructing a K3 surface from a curve via wall-crossing Soheyla Feyzbakhsh 07-12-2017 - 14:30 Largo San Leonardo Murialdo,1 - Pal.C - AULA 211
Mukai has introduced a geometric program to reconstruct a K3 surface from a curve on that surface. The idea is to first consider a Brill-Noether locus of vector bundles on the curve. Then the K3 surface containing the curve can be obtained uniquely as a Fourier-Mukai partner of the Brill-Noether locus. In this talk, I will explain how wall-crossing with respect to Bridgeland stability conditions implies that the Mukai's strategy works for curves of genus greater than 12 or genus 11. |