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AlffPlaceIsFinite

Returns whether a place is finite.

Syntax:

b := AlffPlaceIsFinite(P);

boolean
  b  
alff place
  P  

See also:  AlffPlaceSplit

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). The function returns true if and only if \p is not the place at infinity (degree valuation).


Example:


kash> H := AlffHermitianFunField(2,1);
Algebraic function field defined by
.1^2 + .1 + .2^3
over
Univariate rational function field over GF(2^2)
Variables: T

kash> P := AlffPlacesDegOne(H)[1];
Alff place < [ 1/T, 0 ], [ 0, 1 ] >
kash> AlffPlaceIsFinite(P);
> false


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