Fumiaki Suzuki : The integral Hodge conjecture for 3-folds of Kodaira dimension zero

Posted by Gregory Taylor , part of the Graduate Algebraic Geometry Seminar.

At

Jan. 29, 2020, 4 p.m.

In

512 SEO

Abstract

In this talk, we explain a recent result of Totaro proving that the integral Hodge conjecture holds on 3-folds of Kodaira dimension zero with non-zero global 3-forms, which strengthens an earlier work of Voisin. This makes a contrast with a result of Benoist-Ottem proving that the conjecture can fail on a 3-fold with 2K=0. We start from a review on the IHC and its relation with birational geometry.