Moduli space of Hessian K3 surfaces and arithmetic quotients

TL;DR

This paper investigates the structure of the moduli space of Hessian K3 surfaces by representing it as an arithmetic quotient, providing insights into its geometric and arithmetic properties.

Contribution

It introduces a new perspective on Hessian K3 surfaces by describing their moduli space as an arithmetic quotient, linking geometry with number theory.

Findings

Characterization of the moduli space as an arithmetic quotient

Connections between Hessian K3 surfaces and arithmetic groups

Insights into the geometric structure of the moduli space

Abstract

We study the moduli space of Hessian K3 surfaces as arithmetic quotients.