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arXiv · 2101.01002

Noetherian Operators in Macaulay2

Justin Chen·Yairon Cid-Ruiz·Marc Härkönen·Robert Krone·Anton Leykin
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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.

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Justin Chen, Yairon Cid-Ruiz, Marc Härkönen, Robert Krone, Anton Leykin. 2021-01-04. Noetherian Operators in Macaulay2. https://doi.org/10.2140/jsag.2022.12.33

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