Geodesic
How to determine a curve singularity
Canadian mathematical bulletin, Tome 67 (2024) no. 3, pp. 633-647

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DOI

We characterize the finite codimension sub-${\mathbf {k}}$-algebras of ${\mathbf {k}}[\![t]\!]$ 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 ${\mathbf {k}}[\![t]\!]$ by differentiation.
DOI : 10.4153/S000843952400002X
Mots-clés : Curve singularity, Matlis duality, differential operator 
Elias, J. How to determine a curve singularity. Canadian mathematical bulletin, Tome 67 (2024) no. 3, pp. 633-647. doi: 10.4153/S000843952400002X
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