Graduate Algebraic Geometry Seminar
Fumiaki Suzuki
UIC
The integral Hodge conjecture for 3-folds of Kodaira dimension zero
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.
Wednesday January 29, 2020 at 4:00 PM in 512 SEO