Title: Kodaira dimension of fibrations over abelian varieties
Speaker: Fanjun Meng
Speaker Info: Northwestern University
Brief Description:
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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.Date: Wednesday, May 25, 2022