A package for computations with sparse resultants

TL;DR

The paper presents a Macaulay2 package called SparseResultants that enables computation of sparse resultants, discriminants, and hyperdeterminants, supported by theoretical background and implementation details.

Contribution

It introduces a new software package for computing complex algebraic objects related to sparse polynomial systems, expanding computational tools in algebraic geometry.

Findings

Provides algorithms for computing sparse resultants and discriminants

Demonstrates the package's functionality with theoretical background

Enhances computational capabilities in algebraic geometry

Abstract

We introduce the Macaulay2 package SparseResultants, which provides general tools for computing sparse resultants, sparse discriminants, and hyperdeterminants. We give some background on the theory and briefly show how the package works.