3 papers
math.AG2026
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…
math.AG2024
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…
math.AG2024
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…