Examinando por Autor "Benazic Tomé, Renato"
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- PublicaciónAcceso abiertoFoliaciones dicríticas sin singularidades después de un blow-up(Universidad San Ignacio de Loyola, 2008) Benazic Tomé, RenatoIn this paper we are going to study foliations defined by holomorphic vector fields with isolated singularity in the origin with dicritic type, which strict transformed doesn't present singularities and satisfies the r-condition. We will prove that this family is open and dense; also we will give local forms of every point of the divisor.
- PublicaciónAcceso abiertoGeometría de las foliaciones lineales en C2(Universidad San Ignacio de Loyola, 2010) Benazic Tomé, RenatoIn this work, we study the geometric behavior of the solutions of a bidimentional complex ordinary diferential equation. We 'prove that the geometry of the leaves depend on the position of the eigenvalues in the complex plain and we will give a completely description of these geometry.
- PublicaciónAcceso abiertoLa silla-nodo compleja(Universidad San Ignacio de Loyola, 2011) Benazic Tomé, Renato; Huaroto, GerardoIn this paper establishes the formal locally a field of complex dimension two, in the vicinity of an isolated singular point, whose Taylor series expansion (around the isolated singularity) has linear part with a zero eigenvalue. Such singularities are called chair-node complex.