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Topic review - Puiseux expansion |
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Puiseux expansion |
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Hi,
I have to question on Puiseux expansion. I work with plane curves over C.
1. The library "hnoether" computes a parameterization (p(t),q(t)) of the local branches of a curve f(x,y)=0. How to ge a "true" Puiseux expansion of the form (t^p,s(t)) where s(t) in series in t?
2. In fact I want a parameterization of the branches at infinity of the curves. Is defining a global ordering (like dp) will give me the right parameterization? (It seems that in Maple it is possible to ask puiseux(f,x=infinity,y,n) to get thoses branches at infinity.)
Thanks for your answers, Arnaud
Hi,
I have to question on Puiseux expansion. I work with plane curves over [b]C[/b].
1. The library "hnoether" computes a parameterization (p(t),q(t)) of the local branches of a curve f(x,y)=0. How to ge a "true" Puiseux expansion of the form (t^p,s(t)) where s(t) in series in t?
2. In fact I want a parameterization of the branches [b]at infinity[/b] of the curves. Is defining a global ordering (like dp) will give me the right parameterization? (It seems that in [i]Maple[/i] it is possible to ask puiseux(f,x=infinity,y,n) to get thoses branches at infinity.)
Thanks for your answers, Arnaud
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Posted: Thu May 26, 2016 7:29 pm |
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It is currently Fri May 13, 2022 10:54 am
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