<?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>AffineVariety -- the class of all affine varieties</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Affine__Variety_sp_st_st_sp__Ring.html">next</a> | <a href="_adjoint1_lp__Matrix_cm__Module_cm__Module_rp.html">previous</a> | <a href="___Affine__Variety_sp_st_st_sp__Ring.html">forward</a> | <a href="_adjoint1_lp__Matrix_cm__Module_cm__Module_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>AffineVariety -- the class of all affine varieties</h1> <div><!--empty documentation body--></div> <div class="waystouse"><h2>Functions and methods returning an affine variety :</h2> <ul><li><span>AffineVariety * AffineVariety, see <span><a href="__st.html" title="a binary operator, usually used for multiplication">*</a> -- a binary operator, usually used for multiplication</span></span></li> <li><span><a href="___Affine__Variety_sp_st_st_sp__Ring.html" title="a binary operator, usually used for tensor product or Cartesian product">AffineVariety ** Ring</a> -- a binary operator, usually used for tensor product or Cartesian product</span></li> <li><span><a href="___Spec_lp__Ring_rp.html" title="make an affine variety">Spec(Ring)</a> -- make an affine variety</span></li> </ul> <h2>Methods that use an affine variety :</h2> <ul><li><span><a href="_ambient_lp__Affine__Variety_rp.html" title="">ambient(AffineVariety)</a></span></li> <li><span>char(AffineVariety), see <span><a href="_char.html" title="computes the characteristic of the ring or field">char</a> -- computes the characteristic of the ring or field</span></span></li> <li><span><a href="_dim_lp__Affine__Variety_rp.html" title="dimension of the affine variety">dim(AffineVariety)</a> -- dimension of the affine variety</span></li> <li><span>singularLocus(AffineVariety), see <span><a href="_singular__Locus.html" title="singular locus">singularLocus</a> -- singular locus</span></span></li> </ul> </div> <div class="waystouse"><h2>For the programmer</h2> <p>The object <a href="___Affine__Variety.html" title="the class of all affine varieties">AffineVariety</a> is <span>a <a href="___Type.html">type</a></span>, with ancestor classes <a href="___Variety.html" title="the class of all algebraic varieties">Variety</a> < <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>