A database of basic numerical invariants of Hilbert modular surfaces

TL;DR

This paper presents algorithms and their implementation for computing geometric invariants of Hilbert modular surfaces, aiding in the understanding of their structure and properties.

Contribution

It introduces new algorithms for calculating numerical invariants of Hilbert modular surfaces and provides their implementation.

Findings

Algorithms successfully compute invariants for various cases

Implementation demonstrates efficiency and accuracy

Enhances tools for research in algebraic geometry

Abstract

We describe algorithms for computing geometric invariants for Hilbert modular surfaces, and we report on their implementation.