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

## TL;DR

This paper presents six series of lattice-polarized K3 surfaces with automorphic discriminant, linking Lorentzian Kac--Moody algebras and arithmetic mirror symmetry to provide explicit examples.

## Contribution

It introduces new explicit examples of lattice-polarized K3 surfaces with automorphic discriminant based on Lorentzian Kac--Moody algebras and arithmetic mirror symmetry.

## Key findings

- Six series of lattice-polarized K3 surfaces with automorphic discriminant
- Connections established between K3 surfaces, Kac--Moody algebras, and mirror symmetry
- Explicit examples illustrating theoretical concepts

## 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.