Kummer fourfolds

par Angel David Rios Ortiz

jeudi 14 nov. 2024, 10:30 → 11:30 Europe/Paris

K3 surfaces hold a significant place in mathematics, and one of their generalizations, the Kummer fourfolds, belong to a family of hyperkähler manifolds that have attracted attention due to their intrinsic beauty and elusive properties. In this work, we aim to derive explicit equations for these manifolds and demonstrate a novel form of projective duality. This duality will be established in relation to the moduli space of curves, building on the foundational work of Narasimhan, Nguyen, Ortega,  and our more recent contribution with Agostini, Beri and Giovenzana.