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AlffPlaceRam

Ramification of a place.

Syntax:

r := AlffPlaceRam(P);

integer
  r  
alff place
  P  

See also:  AlffPlaceSplit, AlffPlaceDeg, AlffPlaceResDeg

Description:

Let F = k(T,y) be an algebraic function field defined by f(T,y)=0 over k and frak{P} | \p be a place of F over a place \p of the rational function field k(T). This function returns the ramification index r of frak{P} over \p.


Example:


kash> AlffInit(FF(2,3));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> F := Alff(y^3+T^3*y+T);
Algebraic function field defined by
.1^3 + .1*.2^3 + .2
over
Univariate rational function field over GF(2^3)
Variables: T

kash> P := AlffPlaceSplit(F, T+1)[1];
Alff place < [ T + 1, 0, 0 ], [ w, 1, 0 ] >
kash> r := AlffPlaceRam(P);
> 1


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