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math.CV2015★ 5 cited
Twin vector fields and independence of spectra for quadratic vector fields
Valente Ramirez
The object of this paper is to address the following question: When is a polynomial vector field on completely determined (up to affine equivalence) by the spectra o…
math.CV2014
The utmost rigidity property for quadratic foliations on with an invariant line
Valente Ramirez
In this work we consider holomorphic foliations of degree two on the projective plane having an invariant line. In a suitable choice of affine coordinates these foli…
math.CV2014
An example of a non-algebraizable singularity
Valente Ramirez
We say that the the germ of a singular holomorphic foliation on is algebraizable whenever it is holomorphically conjugate to the singularity of a foliation defin…