Generalisation for Puiseux theorem ?

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Article #187

#187

From: Frederic Guyard
Date: Mon, 25 Jan 1993 13:14

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Hi,

Is there some generalisation for Puiseux Theorem ?

With Puiseux theorem, you know than you can determine branches of solution  
for P(x,y)=0 i.e. you can find parametrisation y(x) with P(x,y(x))=0.

Is there some generalisation if there is 3 variables : P(x,y,z)=0. For an  
example, can i find a parametrisation : P(x,y,z(x,y)). 

In the same way, is there a generalisation for Newton Polyhedron method  
with 3 variables ?

Thank ..

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From: guyard@dollar.unice.fr (Frederic Guyard)
Subject: Generalisation for Puiseux theorem ?
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Date: Mon, 25 Jan 1993 13:14:58 GMT
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