Back to Algebraic Geometry Seminar: Fall 2017
Algebraic Geometry Seminar
Date: Tuesday, Oct 31, 2017
Time: 3:30PM - 4:30PM
Location: LCB 215
Harold Blum
University of Michigan
Title |
Thresholds, Valuations, and K-stability |
Abstract |
Let L be a line bundle on a projective variety X. We use valuations to measure the singularities of the linear system |mL| as m goes to infinity. Specifically, we consider the global log canonical threshold and stability thresholds of L. The stability threshold generalizes an invariant recently introduced by Kento Fujita and Yuji Odaka. When X is a Fano variety, we show that the stability threshold detects the K-(semi)stability of X. This talk is based on joint work with Mattias Jonsson. |
Algebraic Geometry