Invariants of some compactified Picard modular surfaces and applications

TL;DR

This paper studies invariants of compactified Picard modular surfaces derived from principal congruence subgroups, with applications to classifying surfaces and understanding modular forms.

Contribution

It introduces new invariants for these surfaces and explores their implications for surface classification and modular form theory.

Findings

Identification of key invariants for compactified Picard modular surfaces

Applications to surface classification problems

Insights into the structure of associated modular forms

Abstract

The paper investigates invariants of compactified Picard modular surfaces by principal congruence subgroups of Picard modular groups. The applications to the surface classification and modular forms are discussed.