English

A Shape Lemma for Ideals of Differential Operators

Symbolic Computation 2025-05-01 v2 Commutative Algebra

Abstract

We propose a version of the classical shape lemma for zero-dimensional ideals of a commutative multivariate polynomial ring to the noncommutative setting of zero-dimensional ideals in an algebra of differential operators.

Cite

@article{arxiv.2502.11787,
  title  = {A Shape Lemma for Ideals of Differential Operators},
  author = {Manuel Kauers and Christoph Koutschan and Thibaut Verron},
  journal= {arXiv preprint arXiv:2502.11787},
  year   = {2025}
}
R2 v1 2026-06-28T21:47:10.967Z