English

On the Saito basis for plane curves

Algebraic Geometry 2025-05-27 v1

Abstract

We present some results concerning the Saito module and the torsion submodule of an analytic plane curve, and we provide a method for computing them. Using this algorithm, we compute analytic invariants for plane curves with multiplicity less than or equal to three.

Keywords

Cite

@article{arxiv.2505.18868,
  title  = {On the Saito basis for plane curves},
  author = {Emilio de Carvalho and Percy Fernández-Sánchez and Marcelo Escudeiro Hernandes},
  journal= {arXiv preprint arXiv:2505.18868},
  year   = {2025}
}