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

Returns the "minimum" of a place.

<p><p>

<h3>
Syntax:
</h3>
<pre>p := AlffPlaceMin(P);</pre>

<p>

<table>
<tr>
<td>prime polynomial or 1/T</td>
<td><pre>  p  </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>

<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 a monic prime
polynomial in k[T] or 1/T, corresponding to \p.

<p><p>

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

<pre>

kash> AlffInit(FF(5,2));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> AlffOrders(y^3+T^3+1);
"Defining global variables: F, o, oi, one"
kash> P := AlffPlaceSplit(F, T+3)[1];
Alff place < [ T + 3, 0, 0 ], [ w^4, 1, 0 ] >
kash> AlffPlaceMin(P);
> T + 3

</pre>

<p>


<hr>

<p>
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