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Results on the saito module and torsion submodule in analytic plane curves, suggesting new computation techniques.
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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Carvalho et al. (2025) studied this question.
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