Geometry of the Siegel modular threefold with paramodular level structure

TL;DR

This paper provides an explicit geometric description of the Siegel modular threefold with paramodular level structure, extending previous results and analyzing methods for studying moduli spaces of abelian varieties.

Contribution

It offers a detailed geometric analysis of the Siegel modular threefold with paramodular level, building on prior work and evaluating study methods.

Findings

Explicit geometric description of the threefold

Comparison of three standard moduli space methods

Extension of previous results by Norman, Oort, and de Jong

Abstract

In this paper we extend some results of Norman and Oort and of de Jong, and give an explicit description of the geometry of the Siegel modular threefold with paramodular level structure. We also discuss advantages and restrictions of three standard methods for studying moduli spaces of abelian varieties.