[back] [prev] [next] [index] [root]

<p>&nbsp;<p>
<hr noshade size="5">
<h2><a name="AlffPlaceResDeg"></a>
AlffPlaceResDeg
</h2>

Residue class field extension degree of a place.

<p><p>

<h3>
Syntax:
</h3>
<pre>f := AlffPlaceResDeg(P);</pre>

<p>

<table>
<tr>
<td>integer</td>
<td><pre>  f  </pre></td>
<td></td>
</tr>
<tr>
<td>alff place</td>
<td><pre>  P  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#AlffPlaceSplit">AlffPlaceSplit</a>, <a href="kashref.html#AlffPlaceRam">AlffPlaceRam</a>, <a href="kashref.html#AlffPlaceDeg">AlffPlaceDeg</a>

<p>

<h3>
Description:
</h3>
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 degree f of the
extension of the residue class fields of frak{P}
and \p (k is the
constant field of definition, not the exact constant field).

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>

<pre>

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> f := AlffPlaceResDeg(P);
> 1

</pre>

<p>


<hr>

<p>
<a href="../kashref.html"><- back</a>[back] [prev] [next] [index] [root]