<?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>Variety -- the class of all algebraic varieties</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Gröbner_spbases.html">next</a> | <a href="_coherent_spsheaves.html">previous</a> | forward | <a href="_coherent_spsheaves.html">backward</a> | <a href="_varieties.html">up</a> | <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> <div><a href="index.html" title="">Macaulay2Doc</a> > <a href="_varieties.html" title="">varieties</a> > <a href="___Variety.html" title="the class of all algebraic varieties">Variety</a></div> <hr/> <div><h1>Variety -- the class of all algebraic varieties</h1> <div><!--empty documentation body--></div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_varieties.html" title="">varieties</a></span></li> </ul> </div> <div class="waystouse"><h2>Types of variety :</h2> <ul><li><span><a href="___Affine__Variety.html" title="the class of all affine varieties">AffineVariety</a> -- the class of all affine varieties</span></li> <li><span><a href="___Projective__Variety.html" title="the class of all projective varieties">ProjectiveVariety</a> -- the class of all projective varieties</span></li> </ul> <h2>Functions and methods returning a variety :</h2> <ul><li><span><a href="_variety_lp__Coherent__Sheaf_rp.html" title="">variety(CoherentSheaf)</a></span></li> <li><span><a href="_variety_lp__Sheaf__Of__Rings_rp.html" title="get the variety">variety(SheafOfRings)</a> -- get the variety</span></li> </ul> <h2>Methods that use a variety :</h2> <ul><li><span>describe(Variety), see <span><a href="_describe.html" title="real description">describe</a> -- real description</span></span></li> <li><span><a href="_ideal_lp__Variety_rp.html" title="returns the defining ideal">ideal(Variety)</a> -- returns the defining ideal</span></li> <li><span>ring(Variety), see <span><a href="_ring.html" title="get the associated ring of an object">ring</a> -- get the associated ring of an object</span></span></li> <li><span><a href="_sheaf_lp__Variety_rp.html" title="make a coherent sheaf">sheaf(Variety)</a> -- make a coherent sheaf</span></li> <li><span><a href="_sheaf_lp__Variety_cm__Module_rp.html" title="make a coherent sheaf">sheaf(Variety,Module)</a> -- make a coherent sheaf</span></li> <li><span><a href="_sheaf_lp__Variety_cm__Ring_rp.html" title="make a coherent sheaf of rings">sheaf(Variety,Ring)</a> -- make a coherent sheaf of rings</span></li> </ul> </div> <div class="waystouse"><h2>For the programmer</h2> <p>The object <a href="___Variety.html" title="the class of all algebraic varieties">Variety</a> is <span>a <a href="___Type.html">type</a></span>, with ancestor classes <a href="___Mutable__Hash__Table.html" title="the class of all mutable hash tables">MutableHashTable</a> < <a href="___Hash__Table.html" title="the class of all hash tables">HashTable</a> < <a href="___Thing.html" title="the class of all things">Thing</a>.</p> </div> </div> </body> </html>