Back to Algebraic Geometry Seminar: Spring 2021
Algebraic Geometry Seminar
Date: Tuesday, Mar 16, 2021
Time: 3:30PM - 4:30PM
Location: Zoom
9 am
Maciej Zdanowicz
University of Amsterdam
Title |
Ordinary varieties with trivial canonical bundle are not uniruled |
Abstract |
It is a peculiar property of characteristic p>0 geometry that smooth varieties of non-negative Kodaira dimension could be uniruled. It has been widely believed that such behaviour could actually be mitigated by making appropriate cohomological assumptions. In the talk I will confirm this expectation in the case of varieties with trivial canonical class generalizing to arbitrary dimension the easier implication of Artin-Shioda conjecture describing the K3 surfaces story. The presentation will be based on the joint work with Zsolt Patakfalvi (EPFL) |
Algebraic Geometry