Andr'e Belotto

activity

20112014

most citedAnalytic varieties as limit periodic sets

6 citations · 11 across the 4 of their papers we have counts for

collaborators

4 papers

math.CV2014★ 5 cited

Local monomialization of a system of first integrals of Darboux type

André Belotto

Given a real- or complex-analytic singular foliation $θ$ with $n$ first integrals of meromorphic or Darboux type $(f_{1}, \dots, f_{n})$ , we prove that there exists a local monomializati…

math.CA2013

Examples of infinitesimal non-trivial accumulation of secants in dimension three

André Belotto

We present non-trivial examples of accumulation of secants for orbits (of real analytic three dimensional vector fields) having the origin as only $ω$ -limit point. These non-trivia…

math.CV2012

Global resolution of singularities in $1$ -dimensional foliated spaces

André Belotto

Let $M$ be an analytic manifold over $R$ or $C$ , $θ$ a $1$ -dimensional Log-Canonical (resp. monomial) singular distribution and $I$ a coherent ideal she…

math.DS2011★ 6 cited

Analytic varieties as limit periodic sets

André Belotto

Let $f (x, y) \neq \equiv 0$ be a real-analytic planar function. We show that, for almost every $R > 0$ there exists an analytic 1-parameter family of vector fields $X_{λ}$ which has $\{f…

Local monomialization of a system of first integrals of Darboux type

Examples of infinitesimal non-trivial accumulation of secants in dimension three

Global resolution of singularities in 1-dimensional foliated spaces

Analytic varieties as limit periodic sets

Global resolution of singularities in $1$ -dimensional foliated spaces