Noetherian Operators in Macaulay2
arXiv:2101.01002 · doi:10.2140/jsag.2022.12.33
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.
6 pages, source code distributed with Macaulay2 since version 1.17