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

Applies the Cartier operator.

<p><p>

<h3>
Syntax:
</h3>
<pre>hdx := AlffDiffCartier(gdx, r);</pre>

<p>

<table>
<tr>
<td>differentials</td>
<td><pre>  hdx, gdx  </pre></td>
<td></td>
</tr>
<tr>
<td>integer</td>
<td><pre>  r  </pre></td>
<td>number of iterated applications</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, x \in F be a
separating variable and gdx\in Omega(F/k)
be a differential.
The Cartier operator is defined by
 C(omega) := \left( - d^{p-1} g
/ dx^{p-1} right)^{1/p} dx. This function computes the
the rth iterated application of C to gdx.

<p><p>

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

<pre>

</pre>

<p>


<hr>

<p>
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