Finding points on varieties with Macaulay2

Publications

Finding points on varieties with Macaulay2

Year : 2023

Publisher : Mathematical Sciences Publishers

Source Title : Journal of Software for Algebra and Geometry

Document Type :

Abstract

We present RandomPoints, a package in Macaulay2 designed mainly to identify rational and geometric points in a variety over a finite field. We provide tools to estimate the dimension of a variety. We also present methods to obtain nonvanishing minors of a given size in a given matrix, by evaluating the matrix at a point.