Logo

Mathematical Sciences Research Institute

Home » MSRI Colloquiu:"Can Bridgeland stability tell us something new about Kodaira vanishing?"

Seminar

MSRI Colloquiu:"Can Bridgeland stability tell us something new about Kodaira vanishing?" April 10, 2009
Location: MSRI: Simons Auditorium
Speaker(s) Dr. Aaron Bertram
Description No Description

Video
No Video Uploaded
Abstract/Media

The classical slope (degree/rank) of a vector bundle or torsion-free sheaf
gives a "codimension one" notion of stability that can be used to prove the first case
of Kodaira vanishing (Hom(L,O_X) = 0 for an ample line bundle L on a projective variety X).
A "codimension two" family of slopes in the derived category of a smooth projective
variety X can be used to similarly prove the next case of Kodaira vanishing (Hom(L,O[1]) = 0).
I will talk about this, the Reider's theorem analogue when X = S is a surface, and then
irresponsibly speculate about what might be going on in general.

No Notes/Supplements Uploaded No Video Files Uploaded