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):