Back to Commutative Algebra Seminar: Spring 2018
Commutative Algebra Seminar
Date: Friday, May 4, 2018
Time: 2:30PM - 3:20PM
Location: LCB 222
Kenta Sato
University of Tokyo
Title |
Ascending chain condition for F-pure thresholds |
Abstract |
For a germ of a variety in positive characteristic and a non-zero ideal sheaf on the variety, we can define the F-pure threshold of the ideal by using Frobenius morphisms, which measures the singularities of the pair. In this talk, I will show that the set of all F-pure thresholds on a fixed strongly F-regular germ satisfies the ascending chain condition. This is a positive characteristic analogue of the “ascending chain condition for log canonical thresholds” in characteristic 0, which was recently proved by Hacon, McKernan, and Xu. |
Commutative Algebra