Noetherian Operators in Macaulay2

4 Jan 2021  ·  Justin Chen, Yairon Cid-Ruiz, Marc Härkönen, Robert Krone, Anton Leykin ·

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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Commutative Algebra Algebraic Geometry 14-04, 14Q15, 13N05, 65L80, 65D05