Noetherian Operators in Macaulay2
Commutative Algebra
2023-01-25 v1 Algebraic Geometry
Abstract
A primary ideal in a polynomial ring can be described by the variety it defines and a finite set of Noetherian operators, which are differential operators with polynomial coefficients. We implement both symbolic and numerical algorithms to produce such a description in various scenarios as well as routines for studying affine schemes through the prism of Noetherian operators and Macaulay dual spaces.
Cite
@article{arxiv.2101.01002,
title = {Noetherian Operators in Macaulay2},
author = {Justin Chen and Yairon Cid-Ruiz and Marc Härkönen and Robert Krone and Anton Leykin},
journal= {arXiv preprint arXiv:2101.01002},
year = {2023}
}
Comments
6 pages, source code distributed with Macaulay2 since version 1.17