Algebraic Geometry Seminar
Aaron Bertram
University of Utah
Stability conditions (following Bridgeland) in codimension two
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)
Thursday April 10, 2008 at 4:00 PM in SEO 636