Divisors of $\mathcal{A}^{(1,1,2,2)}_4$

TL;DR

This paper constructs two divisors in a specific moduli space of abelian varieties and analyzes their invariance properties under a canonical involution, contributing to the understanding of the space's geometric structure.

Contribution

It introduces two explicit divisors in the moduli space _4^{(1,1,2,2)} and studies their symmetry properties under a known involution.

Findings

One divisor is invariant under the involution.

The other divisor is non-invariant under the involution.

The invariance properties provide insights into the moduli space's symmetry structure.

Abstract

We construct two divisors in the moduli space $\mathcal{A}_4 ^{(1,1,2,2)}$ and we check their invariance and non-invariance under the canonical involution introduced by C. Birkenhake and H. Lange.