Algebraic Geometry Seminar: Kodaira dimension and hyperbolicity for smooth families of varieties
Sung Gi Park (Harvard)
Wednesday, March 22, 2023
4096 East Hall Map
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.
|Event Type:||Workshop / Seminar|
|Source:||Happening @ Michigan from Department of Mathematics, Algebraic Geometry Seminar - Department of Mathematics|