How to determine a curve singularity
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 $\m...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/222605 |
| Acceso en línea: | https://hdl.handle.net/2445/222605 |
| Access Level: | acceso abierto |
| Palabra clave: | Singularitats (Matemàtica) Anells locals Singularities (Mathematics) Local rings |
| Sumario: | 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. |
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