Aaron Bertram : Stability conditions (following Bridgeland) in codimension two

Posted by , part of the Algebraic Geometry Seminar.

At

April 10, 2008, 4 p.m.

In

SEO 636

Abstract

The Hodge index theorem and Bogomolov inequality allow one to "bootstrap" from ordinary slope stability to a Bridgeland stability condition that detects coherent sheaves supported in codimension two (unlike slope stability). This new stability condition can be used, for example, to get a perfect analogue of Thaddeus stable pairs for K3 surfaces. It also begs an important question. Can one bootstrap further, to stability conditions in arbitrary codimension? (Joint work with Daniele Arcara)