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

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

Prepare for enumeration of a linear series over a finite field.

<p><p>

<h3>
Syntax:
</h3>
<pre>env := AlffLinearSeriesEnumEnv(D, B);</pre>

<p>

<table>
<tr>
<td>record</td>
<td><pre>  env  </pre></td>
<td>of enumeration data</td>
</tr>
<tr>
<td>alff divisor </td>
<td><pre>  D  </pre></td>
<td></td>
</tr>
<tr>
<td>list</td>
<td><pre>  B  </pre></td>
<td>of v_1, \dots, v_l</td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#AlffLinearSeriesEnumNext">AlffLinearSeriesEnumNext</a>, <a href="kashref.html#AlffLinearSeriesEnumElt">AlffLinearSeriesEnumElt</a>

<p>

<h3>
Description:
</h3>
Let F/k be a global function field and D a divisor.
Let v_1, \dots, v_l be k-linearly independent
elements of F. This function
returns a record which is used by <tt> AlffLinearSeriesEnumNext()</tt>
and <tt> AlffLinearSeriesEnumElt()</tt> to enumerate successively
the divisors D + \bigl( \sum_{i=1}^l \lambda_i v_i \bigr)
(each once).

<p><p>

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

<pre>

</pre>

<p>


<hr>

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