Noetherian Operators in Macaulay2
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2021
- arXiv:
- arXiv:2101.01002
- Bibcode:
- 2021arXiv210101002C
- Keywords:
-
- Mathematics - Commutative Algebra;
- Mathematics - Algebraic Geometry;
- 14-04;
- 14Q15;
- 13N05;
- 65L80;
- 65D05
- E-Print:
- 6 pages, source code distributed with Macaulay2 since version 1.17