<?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>Regularity -- compute Castelnuovo-Mumford regularity of a homogeneous ideal</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_m__Regularity.html">next</a> | previous | <a href="_m__Regularity.html">forward</a> | backward | up | top | <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>Regularity -- compute Castelnuovo-Mumford regularity of a homogeneous ideal</h1> <div class="single"><h2>Description</h2> <div><p><tt>Regularity</tt> is a package for computing the Castelnuovo-Mumford regularity of homogeneous ideals in a polynomial ring without having to compute a minimal free resolution of the homogeneous ideal</p> <p>This package is based on two articles by Bermejo and Gimenez: <tt>Saturation and Castelnuovo-mumford Regularity</tt>, Journal of Algebra 303/2006 and <tt>Computing the Castelnuovo-Mumford Regularity of some subschemes of P^n using quotients of monomial ideals</tt>, Journal of Pure and Applied Algebra 164/2001.</p> </div> </div> <div class="single"><h2>Authors</h2> <ul><li><div class="single">Alexandra Seceleanu<span> <<a href="mailto:asecele2@uiuc.edu">asecele2@uiuc.edu</a>></span></div> </li> <li><div class="single">Nathaniel Stapleton<span> <<a href="mailto:nstaple2@math.uiuc.edu">nstaple2@math.uiuc.edu</a>></span></div> </li> </ul> </div> <div class="single"><h2>Version</h2> This documentation describes version <b>1.0</b> of Regularity.</div> <div class="single"><h2>Source code</h2> The source code from which this documentation is derived is in the file <a href="../../../../Macaulay2/Regularity.m2">Regularity.m2</a>.</div> <div class="single"><h2>Exports</h2> <ul><li><div class="single">Functions<ul><li><span><a href="_m__Regularity.html" title="compute Castelnuovo-Mumford regularity">mRegularity</a> -- compute Castelnuovo-Mumford regularity</span></li> </ul> </div> </li> </ul> </div> </div> </body> </html>