6 citations · 10 across the 8 of their papers we have counts for
9 papers
Surfaces with central configuration and Dulac's problem for a three dimensional isolated Hopf singularity
Nuria Corral, María Martín Vega, Fernando Sanz Sánchez
Let be a real analytic vector field with an elementary isolated singularity at and eigenvalues with and . We prove t…
Dicritical foliations and semiroots of plane branches
Nuria Corral, Marcelo E. Hernandes, Maria Elenice R. Hernandes
In this work we describe dicritical foliations in at a triple point of the resolution dual graph of an analytic plane branch using its semiroots. I…
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…
Jacobian curve of singular foliations
Nuria Corral
Topological properties of the jacobian curve of two foliations and are described in terms of invariants associa…
Logarithmic Models for Non-Dicritical Foliations
Felipe Cano, Nuria Corral
We show the existence of an essentially unique logarithmic model for any germ of non-dicritical singular holomorphic foliation of codimension one in without sad…
Discrete and Continuous Green Energy on Compact Manifolds
Carlos Beltrán, Nuria Corral, Juan G. Criado del Rey
In this article we study the role of the Green function for the Laplacian in a compact Riemannian manifold as a tool for obtaining well-distributed points. In particular, we prove…
Intrinsic potentials in locally harmonic manifolds
Carlos Beltrán, Nuria Corral, Juan G. Criado del Rey
We consider the problem of allocating a finite number of heat sources in the n-dimensional sphere. When only one such source -assumed to be of infinite temperature- is placed and a…
Local polar invariants for plane singular foliations
Felipe Cano, Nuria Corral, Rogério Mol
In this survey paper, we take the viewpoint of polar invariants to the local and global study of non-dicritical holomorphic foliations in dimension two and their invariant curves.…
Infinitesimal adjunction and polar curves
Nuria Corral
The polar curves of foliations having a curve of separatrices generalize the classical polar curves associated to hamiltonian foliations of . As in the classica…