Seminars & Colloquia Calendar
Singularities of general fibers in positive characteristic
Joe Waldron -- Princeton University
Location: Hill 425
Date & time: Wednesday, 18 April 2018 at 2:00PM - 3:00PM
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 \(\ge\) 11.
This is joint work with Zsolt Patakfalvi.