Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac--Moody algebras

Abstract

Using our results about Lorentzian Kac--Moody algebras and arithmetic mirror symmetry, we give six series of examples of lattice-polarized K3 surfaces with automorphic discriminant.

15 pages

References in corpus (3)

• On the Kodaira dimension of orthogonal modular varieties
• Lorentzian Kac-Moody algebras with Weyl groups of 2-reflections
• Reflective modular forms in algebraic geometry