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

Computes a representation matrix of the Cartier operator.

<p><p>

<h3>
Syntax:
</h3>
<pre>M := AlffDiffCartierMatrix(F, r);</pre>

<p>

<table>
<tr>
<td>matrix</td>
<td><pre>  M  </pre></td>
<td></td>
</tr>
<tr>
<td>global function field</td>
<td><pre>  F  </pre></td>
<td></td>
</tr>
<tr>
<td>integer</td>
<td><pre>  r  </pre></td>
<td>C is r times applied.</td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
Let F/k be a global function field, omega_1, \dots,
omega_g \in Omega(F/k) be a basis for the holomorphic
differentials and r \in Z^{ &gt;=  1}.
Let M = (\lambda_{i,j})_{i,j} \in
k^{g \times g} be the matrix such that
 C^r(omega_i) = \sum_{m=1}^g \lambda_{i, m} omega_m
for all 1  &lt;=  i  &lt;=  g. This function returns M.

<p><p>

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

<pre>

</pre>

<p>


<hr>

<p>
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