Cones of Heegner divisors

Abstract

We show that the cone of primitive Heegner divisors is finitely generated for many orthogonal Shimura varieties, including the moduli space of polarized K3-surfaces. The proof relies on the growth of coefficients of modular forms.

arXiv comment16 pages

References in corpus (4)

• Finite generation and geography of models
• The Noether-Lefschetz conjecture and generalizations
• On the effective cone of ${\overline{\mathcal{M}}}_{g,n}$
• Modular forms on the moduli space of polarised K3 surfaces

Cited by in corpus (1)

• Eisenstein series for the Weil representation