Back to Algebraic Geometry Seminar: Spring 2018
Algebraic Geometry Seminar
Date: Tuesday, Jan 30, 2018
Time: 3:30PM - 4:30PM
Location: LCB 222
Joe Waldron
Princeton University
Title |
Singularities of general fibers in positive characteristic |
Abstract |
Generic smoothness fails to hold for some fibrations in positive characteristic. We study consequences of this failure, in particularly by obtaining a canonical bundle formula relating a fiber with the normalization of its maximal reduced subscheme. This has geometric consequences, including that generic smoothness holds on terminal Mori fiber spaces of relative dimension two in characteristic p at least 11. This is joint work with Zsolt Patakfalvi. |
Algebraic Geometry