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Back to Algebraic Geometry Seminar: Spring 2022

Algebraic Geometry Seminar


Date: Tuesday, Mar 29, 2022

Time: 3:30PM - 4:30PM

Location: See individual entries

LCB 323


Fanjun Meng

Northwestern University

Title

Kodaira dimension of fibrations over abelian varieties

Abstract

The Kodaira dimension of smooth projective varieties is an important birational invariant. In this talk, we will discuss some conjectures on the behavior of Kodaira dimension proposed by Popa. We prove an additivity result for the log Kodaira dimension of algebraic fiber spaces over abelian varieties, a superadditivity result for algebraic fiber spaces over varieties of maximal Albanese dimension, as well as a subadditivity result for log pairs over abelian varieties. This is joint work with Mihnea Popa.

Algebraic Geometry

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