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

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

Computes generators of the divisor class group of a
global function field.

<p><p>

<h3>
Syntax:
</h3>
<pre>L := AlffClassGroupGens( F, [ b, ] [ A, ] [ "fast" ] );</pre>

<p>

<table>
<tr>
<td>list</td>
<td><pre>  L  </pre></td>
<td>of generating divisors</td>
</tr>
<tr>
<td>alff</td>
<td><pre>  F  </pre></td>
<td>global function field</td>
</tr>
<tr>
<td>integer</td>
<td><pre>  b  </pre></td>
<td>bound for degree of places to be used</td>
</tr>
<tr>
<td>alff divisor</td>
<td><pre>  A  </pre></td>
<td>for reduction</td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#AlffClassGroup">AlffClassGroup</a>, <a href="kashref.html#AlffClassGroupGenBound">AlffClassGroupGenBound</a>, <a href="kashref.html#AlffClassGroupGenBoundStrongAlffDivisorDegOne">AlffClassGroupGenBoundStrongAlffDivisorDegOne</a>, <a href="kashref.html#AlffInit">AlffInit</a>, <a href="kashref.html#AlffOrders">AlffOrders</a>

<p>

<h3>
Description:
</h3>
Let F/k be a global function field. The divisor class group
is the factor group of all divisors factored by the principle
divisors.
This function returns a list [ A_1, D_1, \dots, D_m ]
of divisors of F/k such that \deg(A_1) = 1
and \deg(D_i) = 0. The classes [D_i] correspond to
generators of the cyclic factors of the class group of F/k
as returned by~<tt> AlffClassGroup(F)</tt>.
The calling sequence is identical to that
of <tt> AlffClassGroup()</tt>.

<p><p>

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

<pre>

</pre>

<p>


<hr>

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