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Weierstrass 1-Forms and Nondicritical Generalized Curve Foliations
(World Scientific, 2023-05-01)
In this paper, we introduce a distinguished expression for a given 1-form with respect to a polynomial f ∈ C{x}[y], called Weierstrass form. We will use this form and the properties of plane analytical curves to give new characterizations of nondicritical generalized curve foliations.
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On the Saito basis for plane curves
(Springer Nature, 2026-03-01)
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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