Cones of Heegner divisors

2017/05/16 by Jan Hendrik Bruinier, Martin Möller, Bruinier, Jan Hendrik +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1705.05534

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.

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