6 citations · 6 across the 4 of their papers we have counts for
4 papers
Cuspidal dicritical foliations and analytical invariants of cusps
Nuria Corral, Oziel Gómez-Martínez, David Senovilla-Sanz
In this paper we study dicritical foliations having a family of cusps as invariant curves. We give conditions to assure that all the curves of the family have the same semimodule o…
From Differential Values to Roots of the Bernstein-Sato Polynomial
David Senovilla-Sanz
Let be a cusp in with Puiseux pair . This paper is devoted to show how the semimodule of differential values of determines a subset of the…
Computing a Saito basis from a standard basis
Felipe Cano, Nuria Corral, David Senovilla-Sanz
In this paper we describe how to compute a Saito basis of a cusp, a plane curve with only one Puiseux pair. Moreover, the 1-forms of the Saito basis that we compute are characteriz…
Analytic semiroots for plane branches and singular foliations
Felipe Cano, Nuria Corral, David Senovilla-Sanz
The analytic moduli of equisingular plane branches has the semimodule of differential values as the most relevant system of discrete invariants. Focusing in the case of cusps, the…