Find random points inside a variety.
This package provides tools for quickly finding a point (rational, or over a field extension) in the vanishing set of an ideal. The search is highly customizable. This package also includes tools for finding submatrices of a given rank at some point. Furthermore, it provides tools for generic projections and producing collections of linear forms with specified properties.Core functions:
The authors would like to thank David Eisenbud and Mike Stillman for useful conversations and comments on the development of this package. The authors began work on this package at the virtual Cleveland 2020 Macaulay2 workshop.