Title
Noetherian operators and primary decomposition
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.
Year
DOI
Venue
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 Chen111.38
Marc Härkönen200.34
Robert Krone331.57
Anton Leykin417318.99