A Shape Lemma for Ideals of Differential Operators

Fuente: arXiv
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Autores principales: Kauers, Manuel, Koutschan, Christoph, Verron, Thibaut
Formato: Preprint
Publicado: 2025
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author Kauers, Manuel
Koutschan, Christoph
Verron, Thibaut
author_facet Kauers, Manuel
Koutschan, Christoph
Verron, Thibaut
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_11787
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Shape Lemma for Ideals of Differential Operators
Kauers, Manuel
Koutschan, Christoph
Verron, Thibaut
Symbolic Computation
Commutative Algebra
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.
title A Shape Lemma for Ideals of Differential Operators
topic Symbolic Computation
Commutative Algebra
url https://arxiv.org/abs/2502.11787