Abstract | ||
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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. |
Year | DOI | Venue |
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2022 | 10.1016/j.jsc.2021.09.002 | Journal of Symbolic Computation |
Keywords | DocType | Volume |
14Q15,14-04,13N05,65L80,65D05 | Journal | 110 |
ISSN | Citations | PageRank |
0747-7171 | 0 | 0.34 |
References | Authors | |
0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Justin Chen | 1 | 1 | 1.38 |
Marc Härkönen | 2 | 0 | 0.34 |
Robert Krone | 3 | 3 | 1.57 |
Anton Leykin | 4 | 173 | 18.99 |