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arXiv · 2006.13881

Noetherian operators and primary decomposition

Justin Chen·Marc Härkönen·Robert Krone·Anton Leykin
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Abstract

Noetherian operators are differential operators that encode primary components of a polynomial ideal. We develop a framework, as well as algorithms, for computing Noetherian operators with local dual spaces, both symbolically and numerically. For a primary ideal, such operators provide an alternative representation to one given by a set of generators. This description fits well with numerical algebraic geometry, taking a step toward the goal of numerical primary decomposition.

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Justin Chen, Marc Härkönen, Robert Krone, Anton Leykin. 2020-06-24. Noetherian operators and primary decomposition. https://arxiv.org/abs/2006.13881

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