Description of an algorithm of construction of an integral representation given toric variety fan

TL;DR

This paper presents a computer algebra algorithm for constructing a toric variety from its fan and generating an associated integral representation in complex space.

Contribution

It introduces a novel algorithm that constructs toric varieties and their integral representations directly from fan data.

Findings

Algorithm successfully constructs toric varieties from fan data

Provides a method to obtain integral representations in complex space

Enhances computational tools for toric geometry

Abstract

In the present work we give a description a computer algebra algorithm of construction of a toric variety given its fan. The algorithm provides us as well with a construction of an integral representation in $\mathbb{C}^d$, associated with mentioned toric variety.