29 citations · 32 across the 4 of their papers we have counts for
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math.DS2021
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…
math.DS2017★ 29 cited
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…
math.DS2015★ 1 cited
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…