29 citations · 32 across the 4 of their papers we have counts for
6 papers
Rigidity of saddle loops
Daniel Panazzolo, Maja Resman, Loïc Teyssier
A saddle loop is a germ of a holomorphic foliation near a homoclinic saddle connection. We prove that they are classied by their Poincar{é} rst-return map. We also prove that they…
Generalized Flow-Box property for singular foliations
Andre Belotto da Silva, Daniel Panazzolo
We introduce a notion of generalized Flow-Box property valid for general singular distributions and sub-varieties (based on a dynamical interpretation). Just as in the usual Flow-B…
Regularization of Discontinuous Foliations: Blowing up and Sliding Conditions via Fenichel Theory
Daniel Panazzolo, Paulo Ricardo da Silva
We study the regularization of an oriented 1-foliation on where is a smooth manifold and is a closed subset, which can be interpreted…
PSL(2,C), the exponential and some new free groups
Daniel Panazzolo
We prove a normal form result for the groupoid of germs generated by PSL(2,C) and the exponential map. As consequences, we generalize a result of Cohen about the group of translati…
(1 + d/dz)^(-1)
Michael McQuillan, Daniel Panazzolo
We investigate the structure of fully non-linear P.D.E.'s in holomorphic functions, with emphasis on the functorial generalisation of so called "irregular" O.D.E.'s. Highlights are…
Resolution of Singularities of Vector Fields in Dimension Three
Daniel Panazzolo
Let X be an analytic vector field defined in a real analytic manifold of dimension three. We prove that all the singularities of X can be made elementary by a finite number of blow…