Séminaire de Géométrie Complexe

Cones of divisors for moduli spaces of polarized hyper-Kahler manifolds

par Pietro Beri

Europe/Paris
Description

We describe how to compute cones of Noether-Lefschetz divisors on orthogonal modular varieties, with a particular view towards moduli spaces of polarized K3 surfaces and hyperkähler manifolds. We then describe some geometric applications of these cone computations for these moduli spaces. This is a joint work with I. Barros, L. Flapan and B. Williams.