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Published version

Publication date

2024-01-09

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cc-by-nc-sa (c) Joan Elías, 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/222605

How to determine a curve singularity

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https://doi.org/10.4153/S000843952400002X

Abstract

We characterize the finite codimension sub-k-algebras of $\mathbf{k} \llbracket t \rrbracket$ as the solutions of a computable finite family of higher differential operators. For this end, we establish a duality between such a sub-algebras and the finite codimension $\mathbf{k}$-vector spaces of $\mathbf{k}[u]$, this ring acts on $\mathbf{k} \llbracket t \rrbracket$ by differentiation.

Subject

Singularitats (Matemàtica), Anells locals

Subject (English)

Singularities (Mathematics), Local rings

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

ELÍAS GARCÍA, Joan. How to determine a curve singularity. Canadian Mathematical Bulletin-Bulletin Canadien de Mathematiques. 2024. Vol. 67, num. 3, pags. 633-647. ISSN 0008-4395. [consulted: 14 of August of 2026]. Available at: https://hdl.handle.net/2445/222605

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