Noetherian operators and primary decomposition
Algebraic Geometry
2020-06-25 v1 Symbolic Computation
Commutative Algebra
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.
Cite
@article{arxiv.2006.13881,
title = {Noetherian operators and primary decomposition},
author = {Justin Chen and Marc Härkönen and Robert Krone and Anton Leykin},
journal= {arXiv preprint arXiv:2006.13881},
year = {2020}
}
Comments
17 pages, codebase available at https://github.com/haerski/NoetherianOperators