Corpus ID: 230433977

Noetherian Operators in Macaulay2

@inproceedings{Chen2021NoetherianOI,
  title={Noetherian Operators in Macaulay2},
  author={Justin Chen and Yairon Cid-Ruiz and Marc Harkonen and Robert Krone and A. Leykin},
  year={2021}
}
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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