bio  website  wwwirma.ustrasbg.fr/… 

location  Strasbourg  
age  37  
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I'm working on complex dynamical systems, more specifically on the local/global aspect of singular holomorphic foliations in the complex plane
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What's the name of this branched covering?
@NoamD.Elkies Yes indeed, thank you for your valuable input. I edited the question accordingly. 
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What's the name of this branched covering?
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2d

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What's the name of this branched covering?
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2d

asked  What's the name of this branched covering? 
May 19 
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Characterization of certain analytic vector fields on $S^{2}$
No, you're not missing anything. I just wanted to point out that since your motivation (foliations in $\mathbb P_2(\mathbb C)$) was not dealing with topological conjugacy, maybe you wanted a less general question. That's all… 
May 18 
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Characterization of certain analytic vector fields on $S^{2}$
By «orbital equivalence» above I meant to speak of analytical orbital equivalence (=conjugacy), as opposed to topological orbital equivalence (=conjugacy) you speak of. I'm not sure topological equivalence is really what you want, but I can't speak in your stead. 
May 18 
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Intrinsic definition of arc length
I don't think your contribution answers the question asked (the OP never said he was scared of parameterizations…) and he probably knows all this. He explicitly stated « without resorting to a parametrization», which is the sole content of your answer. The question was probably intended at a foundational level. 
May 18 
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Intrinsic definition of arc length
Am I the only one doubting the researchlevel relevance of the question (at least in its present form)? 
May 18 
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Characterization of certain analytic vector fields on $S^{2}$
I don't quite see why you speak about topological conjugacy in that case. Wouldn't you want something stronger, like orbital equivalence as foliated analytic spaces ? The topological setting destroys far too structure in my opinion, you take the risk of losing rigidity arising from analyticity.In the complex case, there is no such requirement, since all the usual charts on $\mathbb P_2(\mathbb C)$ are birationnally equivalent. This should also be the case in the real setting because stereographic projection is algebraic. 
May 17 
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Stability of singularity in singular holomorphic foliation
@AliTaghavi: I'm sorry I have no idea, although it doesn't seem possible at first glance. 
May 15 
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Is there a nice “synthetic” way for doing differential geometry on infinite dimensional vector spaces?
I would include the inverse function theorem in what you call "the basic theorems of differential geometry".In that settng even Fréchet manifolds are not sufficient to guarantee it holds... 
May 12 
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Algebraic Closure of the field of rational functions
@AllyMath, sorry, I read the sentence too fast. 
May 12 
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Algebraic Closure of the field of rational functions
What do you mean by «direct» description? $\bigcup_n\mathbb C((X^{1/n}))$ seems pretty direct to me… 
May 12 
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Stability of singularity in singular holomorphic foliation
Yes, you're right, the boundary shape of $W$ should not matter much. 
May 11 
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Bounded linear functionals over smooth maps of a compact interval
I fail to see how $\bullet_m$ is a norm when $m>1$...? 
May 11 
reviewed  Approve Bounded linear functionals over smooth maps of a compact interval 
May 11 
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Stability of singularity in singular holomorphic foliation
@AliTaghavi:I never claimed you could take $V$ as a polydisc, I'm sorry if I was unclear. I modified the post in a way which is clearer I hope. Also, there is no problem in having trajectories with constant $y$coordinate, they just escape from somewhere else. 
May 11 
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Stability of singularity in singular holomorphic foliation
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May 11 
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Stability of singularity in singular holomorphic foliation
In fact every nonsingular trajectory escapes from $W$. 
May 11 
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Stability of singularity in singular holomorphic foliation
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