A Macaulay 2 interface for Normaliz

TL;DR

This paper introduces a Macaulay 2 interface for Normaliz, enabling seamless integration for computations involving monoid algebras and Hilbert bases, thus enhancing algebraic computation workflows.

Contribution

It presents a novel interface that connects Normaliz with Macaulay 2, facilitating easier access and combined use of their algebraic computation capabilities.

Findings

Enables direct computation of Hilbert bases within Macaulay 2.

Allows Macaulay 2 to serve as a frontend for Normaliz.

Improves efficiency of algebraic operations involving monoids.

Abstract

Normaliz is a tool for the computation of Hilbert bases of normal affine monoids and related tasks. We describe the Macaulay 2 interface to Normaliz. It makes Normaliz accessible for operations on monoid algebras in Macaulay 2 and, conversely, makes Macaulay 2 a frontend for Normaliz.