Back to Algebraic Geometry Seminar: Spring 2013
Algebraic Geometry Seminar
Date: Tuesday, Jan 29, 2013
Time: 3:30PM - 4:30PM
Location: LCB 215
Zsolt Patakfalvi
Princeton University
Title |
Global applications of relative test ideals |
Abstract |
This talk is a continuation of a talk given by Karl Schwede during the Fall semester. It is based on a joint project with Karl Schwede and Wenliang Zhang aiming to interpret many notions of the F-singularity theory in the relative setting. One of the surprising results is the definition of a relative test ideal that restricts to the test ideal on each fiber. The focus of the current talk will be applications to global geometry, such as: behavior of the canonical adjoint linear sub-system S^0 in flat families, definition of canonical subsheaves of pushforards of adjoint line bundles, global generation result for the latest, etc. |
Algebraic Geometry