<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>DrestrictionIdeal -- restriction ideal of a D-module</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Dtrace_lp__Z__Z_rp.html">next</a> | <a href="___Drestriction__Complex.html">previous</a> | <a href="___Dtrace_lp__Z__Z_rp.html">forward</a> | <a href="___Drestriction__Complex.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>DrestrictionIdeal -- restriction 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>DrestrictionIdeal(I,w)</tt></div> </dd></dl> </div> </li> <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> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, the restriction ideal of <em>M</em> w.r.t. the weight vector <em>w</em></span></li> </ul> </div> </li> <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> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div>A suplementary function for <a href="___Drestriction.html" title="restriction modules of a D-module">Drestriction</a> that computes the restriction ideal.<table class="examples"><tr><td><pre>i1 : W = QQ[y,t,Dy,Dt, WeylAlgebra => {y=>Dy, t=>Dt}];</pre> </td></tr> <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> </td></tr> <tr><td><pre>i3 : DrestrictionIdeal(I, {1,4}) o3 = ideal 1 o3 : Ideal of QQ</pre> </td></tr> </table> </div> </div> <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> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="___Drestriction.html" title="restriction modules of a D-module">Drestriction</a> -- restriction modules of a D-module</span></li> <li><span><a href="___Drestriction__All.html" title="restriction modules of a D-module (extended version)">DrestrictionAll</a> -- restriction modules of a D-module (extended version)</span></li> <li><span><a href="___Dintegration.html" title="integration modules of a D-module">Dintegration</a> -- integration modules of a D-module</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>DrestrictionIdeal</tt> :</h2> <ul><li>DrestrictionIdeal(Ideal,List)</li> </ul> </div> </div> </body> </html>