Generalisation for Puiseux theorem ?

Thread View: sci.math.research

2 messages

[T] Back to Threads [V] Tree View [G] Group Articles

2 total messages Started by Frederic Guyard Mon, 25 Jan 1993 13:14

#187

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

15 lines
1110 bytes

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 ..

Re: Generalisation for Puiseux theorem ?

#193

Author: Andrew Mullhaupt
Date: Tue, 26 Jan 1993 07:52

8 lines
910 bytes

In article <1k0p4iINN4ti@taloa.unice.fr> guyard@dollar.unice.fr (Frederic Guyard) writes:
>Is there some generalisation for Puiseux Theorem ?

I think you can get one out of the Weierstrass Preparation Theorem.

Later,
Andrew Mullhaupt

Thread Navigation

This is a paginated view of messages in the thread with full content displayed inline.

Messages are displayed in chronological order, with the original post highlighted in green.

Use pagination controls to navigate through all messages in large threads.

Back to All Threads