Back to Algebraic Geometry Seminar: Spring 2021
Algebraic Geometry Seminar
Date: Tuesday, Feb 23, 2021
Time: 3:30PM - 4:30PM
Location: Zoom
3:30 pm
Lena Ji
Princeton University
Title |
Geometrically non-reduced varieties |
Abstract |
In positive characteristic, there exist fibrations between smooth varieties where every fiber is singular or even non-reduced. In the latter case, the generic fiber of the fibration is geometrically non-reduced. We study the failure of generic smoothness and obtain a structural result about geometrically non-reduced varieties, with applications to Fano varieties. This is joint work with Joe Waldron. |
Algebraic Geometry