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

Returns the Wronski orders of a Riemann-Roch space.

<p><p>

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

<p>

<table>
<tr>
<td>list</td>
<td><pre>  W  </pre></td>
<td>list of rows</td>
</tr>
<tr>
<td>alff divisor</td>
<td><pre>  D  </pre></td>
<td>{cal L}(D) is computed</td>
</tr>
<tr>
<td>alff</td>
<td><pre>  F  </pre></td>
<td>equivalent to taking D = 0</td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#AlffWronskian">AlffWronskian</a>, <a href="kashref.html#AlffDiff">AlffDiff</a>, <a href="kashref.html#AlffDifferentiation">AlffDifferentiation</a>, <a href="kashref.html#AlffRamDivisor">AlffRamDivisor</a>

<p>

<h3>
Description:
</h3>
Let F/k be an algebraic function field with separating
element x and let v_1, \dots v_l
be a basis of {cal L}(D). For the differentiation D_x with
respect to x consider the successively
smallest \nu_1  &lt;=  \dots  &lt;= 
\nu_l \in Z^{ &gt;=  0} such that the rows D_x^{(\nu_i)}(v_1),
\dots, D_x^{(\nu_i)}(v_l), 1  &lt;=  i  &lt;=  l
are F-linearly independent. The numbers \nu_1, \dots, \nu_l
are the Wronski orders of D with respect to x and are
returned. If D has dimension zero, the empty list is
returned. The constant field k is required to be exact.


<p><p>

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

<pre>

</pre>

<p>


<hr>

<p>
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