English

How to determine a curve singularity

Commutative Algebra 2023-12-20 v1 Algebraic Geometry

Abstract

We characterize the finite codimension sub-K-algebras of 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 K-vector spaces of K[u], this ring acts on K[[t]] by differentiation.

Keywords

Cite

@article{arxiv.2312.11901,
  title  = {How to determine a curve singularity},
  author = {Joan Elias},
  journal= {arXiv preprint arXiv:2312.11901},
  year   = {2023}
}
R2 v1 2026-06-28T13:55:41.734Z