<?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>localCohom -- local cohomology</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_local__Cohom_lp..._cm_sp__Loc__Strategy_sp_eq_gt_sp..._rp.html">next</a> | <a href="_local__B__Function_lp__Ring__Element_cm__Ideal_rp.html">previous</a> | <a href="_local__Cohom_lp..._cm_sp__Loc__Strategy_sp_eq_gt_sp..._rp.html">forward</a> | <a href="_local__B__Function_lp__Ring__Element_cm__Ideal_rp.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>localCohom -- local cohomology</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="single"><a href="../../Macaulay2Doc/html/_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="_local__Cohom_lp..._cm_sp__Loc__Strategy_sp_eq_gt_sp..._rp.html">LocStrategy => ...</a>, -- specify localization strategy for local cohomology</span></li> <li><span><a href="_local__Cohom_lp..._cm_sp__Strategy_sp_eq_gt_sp..._rp.html">Strategy => ...</a>, -- specify strategy for local cohomology</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div>Local cohomology of a polynomial ring:<ul><li><a href="_local__Cohom_lp__Ideal_rp.html" title="local cohomology of a polynomial ring">localCohom(Ideal)</a></li> <li><a href="_local__Cohom_lp__List_cm__Ideal_rp.html" title="local cohomology of a polynomial ring">localCohom(List,Ideal)</a></li> <li><a href="_local__Cohom_lp__Z__Z_cm__Ideal_rp.html" title="local cohomology of a polynomial ring">localCohom(ZZ,Ideal)</a></li> </ul> Local cohomology of a holonomic module:<ul><li><a href="_local__Cohom_lp__Ideal_cm__Module_rp.html" title="local cohomology of a D-module">localCohom(Ideal,Module)</a></li> <li><a href="_local__Cohom_lp__Z__Z_cm__Ideal_cm__Module_rp.html" title="local cohomology of a D-module">localCohom(ZZ,Ideal,Module)</a></li> <li><a href="_local__Cohom_lp__List_cm__Ideal_cm__Module_rp.html" title="local cohomology of a D-module">localCohom(List,Ideal,Module)</a></li> </ul> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_prune__Local__Cohom_lp__Hash__Table_rp.html" title="prunes local cohomology modules">pruneLocalCohom</a> -- prunes local cohomology modules</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>localCohom</tt> :</h2> <ul><li><span><a href="_local__Cohom_lp__Ideal_rp.html" title="local cohomology of a polynomial ring">localCohom(Ideal)</a> -- local cohomology of a polynomial ring</span></li> <li><span><a href="_local__Cohom_lp__Ideal_cm__Module_rp.html" title="local cohomology of a D-module">localCohom(Ideal,Module)</a> -- local cohomology of a D-module</span></li> <li><span><a href="_local__Cohom_lp__List_cm__Ideal_rp.html" title="local cohomology of a polynomial ring">localCohom(List,Ideal)</a> -- local cohomology of a polynomial ring</span></li> <li><span><a href="_local__Cohom_lp__List_cm__Ideal_cm__Module_rp.html" title="local cohomology of a D-module">localCohom(List,Ideal,Module)</a> -- local cohomology of a D-module</span></li> <li><span><a href="_local__Cohom_lp__Z__Z_cm__Ideal_rp.html" title="local cohomology of a polynomial ring">localCohom(ZZ,Ideal)</a> -- local cohomology of a polynomial ring</span></li> <li><span><a href="_local__Cohom_lp__Z__Z_cm__Ideal_cm__Module_rp.html" title="local cohomology of a D-module">localCohom(ZZ,Ideal,Module)</a> -- local cohomology of a D-module</span></li> </ul> </div> </div> </body> </html>