Hyperplane arrangements in CoCoA

TL;DR

The paper introduces a new software package for CoCoA that facilitates the study of hyperplane arrangements by providing data structures, enumeration methods, and invariant calculations.

Contribution

It presents a novel package that enhances CoCoA's capabilities for hyperplane arrangement research, including enumeration and invariant computation.

Findings

Enables efficient enumeration of hyperplane arrangements

Provides tools for calculating arrangement invariants

Integrates with CoCoA for algebraic computations

Abstract

We introduce the package \textbf{arrangements} for the software CoCoA. This package provides a data structure and the necessary methods for working with hyperplane arrangements. In particular, the package implements methods to enumerate many commonly studied classes of arrangements, perform operations on them, and calculate various invariants associated to them.