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

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

Computes the inequivalent valuations of a global function field
element at infinity.

<p><p>

<h3>
Syntax:
</h3>
<pre>L := AlffEltInftyVals(a);</pre>

<p>

<table>
<tr>
<td>list</td>
<td><pre>  L  </pre></td>
<td></td>
</tr>
<tr>
<td>global function field element</td>
<td><pre>  a  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
Denote by v_i the s inequivalent normalized valuations
extending the degree valuation of k(T) to F.
The function returns L:=[v_1(a), &hellip; ,v_s(a)] in the tame
ramified case.

<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^4+1);
"Defining global variables: F, o, oi, one"
kash> a := AlffElt(o, [0, 1, 0]);
[ 0, 1, 0 ]
kash> AlffEltInftyVals(a);
> [ -4 ]

</pre>

<p>


<hr>

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