Geometrically non-reduced varieties

Seminar: 
Algebra and Number Theory Seminar
Event time: 
Tuesday, February 23, 2021 - 9:00am
Location: 
Zoom
Speaker: 
Lena Ji
Speaker affiliation: 
Princeton
Event description: 

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 by showing a generalization of Tate's genus change formula, and obtain a structural result about geometrically non-reduced varieties. Our result has applications to Fano varieties. This is joint work with Joe Waldron.

Research Area(s):