Back to Algebraic Geometry Seminar: Fall 2023
Algebraic Geometry Seminar
Date: Tuesday, Sep 26, 2023
Time: 3:30PM - 4:30PM
Location: LCB 323
Sung Gi Park
Harvard University
Title |
Kodaira dimension and hyperbolicity for smooth families of varieties |
Abstract |
In this talk, I will discuss the behavior of positivity, hyperbolicity, and Kodaira dimension under smooth morphisms of complex quasi-projective manifolds. This includes a vast generalization of a classical result: a fibration from a projective surface of non-negative Kodaira dimension to a projective line has at least three singular fibers. Furthermore, I will explain a proof of Popa’s conjecture on the superadditivity of the log Kodaira dimension over bases of dimension at most three. These theorems are applications of the main technical result, namely the logarithmic base change theorem. |
Algebraic Geometry