On the Saito basis for plane curves

Emílio Nolasco de Carvalho; Percy Fernández-Sánchez; Marcelo Escudeiro Hernandes

doi:10.1007/s40687-026-00608-z

March 1, 2026Research in the Mathematical SciencesOpen Access

On the Saito basis for plane curves

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Key Points

The aim is to explore the Saito module and the torsion submodule of analytic plane curves and develop a computation method.
Analyzed the Saito module and torsion submodule of analytic plane curves.
Developed an algorithm for efficient computation.
Focused on curves with multiplicity less than or equal to three.
Introduced a method for computing analytic invariants.
Successfully calculated invariants for given plane curves.
Identified properties related to the Saito module and torsion structure.

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Implication

Results reveal a method for computing analytic invariants in analytic plane curves, implying enhanced understanding of their structure.

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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Cite This Study

Carvalho et al. (2026) studied this question.

synapsesocial.com/papers/69b79e7c8166e15b153abeaa https://doi.org/10.1007/s40687-026-00608-z

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On the Saito basis for plane curves

Key Points

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Implication

Abstract

Discussion

Cite This Study

On the Saito basis for plane curves

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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