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arXiv · 2505.18868

On the Saito basis for plane curves

Emilio de Carvalho·Percy Fernández-Sánchez·Marcelo Escudeiro Hernandes
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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.

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Emilio de Carvalho, Percy Fernández-Sánchez, Marcelo Escudeiro Hernandes. 2025-05-24. On the Saito basis for plane curves. https://arxiv.org/abs/2505.18868

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