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<head><title>DintegrationIdeal -- integration ideal of a D-module</title>
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<div><h1>DintegrationIdeal -- integration ideal of a D-module</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>DintegrationIdeal(I,w)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>I</tt>, <span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, which represents the module <em>M = D/I</em></span></li>
<li><span><tt>w</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, a weight vector</span></li>
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<li><div class="single">Outputs:<ul><li><span><span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, the integration ideal of <em>M</em> w.r.t. the weight vector <em>w</em></span></li>
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<li><div class="single"><a href="../../Macaulay2Doc/html/_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="___Dintegration__Ideal_lp..._cm_sp__Strategy_sp_eq_gt_sp..._rp.html">Strategy => ...</a>, </span></li>
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<div class="single"><h2>Description</h2>
<div>A suplementary function for <a href="___Dintegration.html" title="integration modules of a D-module">Dintegration</a> that computes the integration ideal.<table class="examples"><tr><td><pre>i1 : W = QQ[y,t,Dy,Dt, WeylAlgebra => {y=>Dy, t=>Dt}];</pre>
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<tr><td><pre>i2 : I = ideal(2*t*Dy+Dt, t*Dt+2*y*Dy+2); -- annihilator of 1/(t^2-y)
o2 : Ideal of W</pre>
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<tr><td><pre>i3 : DintegrationIdeal(I, {1,4})
o3 = ideal 1
o3 : Ideal of QQ</pre>
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<div class="single"><h2>Caveat</h2>
<div>The module M should be specializable to the subspace. This is true for holonomic modules.The weight vector w should be a list of n numbers if M is a module over the nth Weyl algebra.</div>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="___Dintegration.html" title="integration modules of a D-module">Dintegration</a> -- integration modules of a D-module</span></li>
<li><span><a href="___Dintegration__All.html" title="integration modules of a D-module (extended version)">DintegrationAll</a> -- integration modules of a D-module (extended version)</span></li>
<li><span><a href="___Drestriction.html" title="restriction modules of a D-module">Drestriction</a> -- restriction modules of a D-module</span></li>
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<div class="waystouse"><h2>Ways to use <tt>DintegrationIdeal</tt> :</h2>
<ul><li>DintegrationIdeal(Ideal,List)</li>
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