3 papers
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…
math.DS2024
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…
math.MG2016
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…