<?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>sheaf(Variety,Module) -- make a coherent sheaf</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_sheaf_lp__Variety_cm__Ring_rp.html">next</a> | <a href="_sheaf_lp__Variety_rp.html">previous</a> | <a href="_sheaf_lp__Variety_cm__Ring_rp.html">forward</a> | <a href="_sheaf_lp__Variety_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>sheaf(Variety,Module) -- make a coherent sheaf</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>sheaf(X,M)</tt></div> </dd></dl> </div> </li> <li><span>Function: <a href="_sheaf.html" title="make a coherent sheaf">sheaf</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>X</tt>, <span>a <a href="___Variety.html">variety</a></span></span></li> <li><span><tt>M</tt>, <span>a <a href="___Module.html">module</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="___Coherent__Sheaf.html">coherent sheaf</a></span>, the coherent sheaf on the variety <tt>X</tt> corresponding to the module <tt>M</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><p>If <tt>X</tt> is the affine variety <tt>Spec R</tt>, then <tt>M</tt> should be an <tt>R</tt>-module. If <tt>X</tt> is the projective variety <tt>Proj R</tt>, then <tt>M</tt> should be a homogeneous <tt>R</tt>-module.</p> </div> </div> </div> </body> </html>