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.
arXiv comment6 pages, source code distributed with Macaulay2 since version 1.17