John Christian Ottem (UiO): Curve classes on holomorphic symplectic varieties

Abstract: We prove that the integral Hodge conjecture holds for 1-cycles on holomorphic symplectic varieties of K3 type and of Generalized Kummer type. As an application, we give a new proof of the integral Hodge conjecture for cubic fourfolds (which was originally proved by Voisin).​

Published Jan. 14, 2019 9:31 AM - Last modified Jan. 14, 2019 9:31 AM