Algebraic Geometry Seminar
Laure Flapan
MSU
Extremal divisors on moduli spaces of K3 surfaces
Abstract: We study the cone of pseudoeffective divisors on moduli spaces of K3 surfaces. We give numerical criteria for when (the irreducible components of) a Noether-Lefschetz divisor on these moduli spaces is an extremal ray of the pseudoeffective cone and use this to exhibit many new extremal divisors. We also discuss the question of whether the pseudoeffective cone is generated by Noether-Lefschetz divisors.
Monday March 17, 2025 at 3:00 PM in 636 SEO