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

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

Computes the different of an algebraic function field
extension F/ k(T).

<p><p>

<h3>
Syntax:
</h3>
<pre>D := AlffDifferent(F);</pre>

<p>

<table>
<tr>
<td>alff divisor</td>
<td><pre>  D  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic function field</td>
<td><pre>  F  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#AlffDifferentDeg">AlffDifferentDeg</a>, <a href="kashref.html#AlffCanonicalDivisor">AlffCanonicalDivisor</a>, <a href="kashref.html#AlffDiffDivisor">AlffDiffDivisor</a>

<p>

<h3>
Description:
</h3>
Let F/k be an algebraic function field. Let P be a place
of the rational function field k(T) and P' a place of F
over P. This function computes the divisor of F
Diff(F/k(T)) = \sum_{P} quad\sum_{P' / P}quad d(P' / P) P' 
where d(P'/P) is the different exponent of P' over P.

<p><p>

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

<pre>

</pre>

<p>


<hr>

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