Algèbre, géométrie, topologie

Curve classes on abelian varieties and stably irrational cubic threefolds

par Olivier de Gaay Fortman (Utrecht University)

Europe/Paris
Description

We disprove the integral Hodge conjecture for abelian varieties and show that very general cubic threefolds are not stably rational. This is joint work with Philip Engel and Stefan Schreieder.