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Noetherian Operators in Macaulay2
Published 4 Jan 2021 in math.AC and math.AG | (2101.01002v1)
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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