Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 3427

Macaulay2-1.3.1-8.fc15.i686.rpm

<?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>CoherentSheaf ** CoherentSheaf -- tensor produce of coherent sheaves</title>
<link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/>
</head>
<body>
<table class="buttons">
  <tr>
    <td><div><a href="___Coherent__Sheaf_sp_pl_pl_sp__Coherent__Sheaf.html">next</a> | <a href="___Coherent__Sheaf_sp_lp_st_rp.html">previous</a> | <a href="___Coherent__Sheaf_sp_pl_pl_sp__Coherent__Sheaf.html">forward</a> | <a href="___Coherent__Sheaf_sp_lp_st_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>CoherentSheaf ** CoherentSheaf -- tensor produce of coherent sheaves</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>F ** G</tt></div>
</dd></dl>
</div>
</li>
<li><span>Operator: <a href="__st_st.html" title="a binary operator, usually used for tensor product or Cartesian product">**</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>F</tt>, <span>a <a href="___Coherent__Sheaf.html">coherent sheaf</a></span></span></li>
<li><span><tt>G</tt>, <span>a <a href="___Coherent__Sheaf.html">coherent sheaf</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 tensor product of <tt>F</tt> and <tt>G</tt></span></li>
</ul>
</div>
</li>
</ul>
</div>
<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : X = Proj(QQ[x,y,z])

o1 = X

o1 : ProjectiveVariety</pre>
</td></tr>
<tr><td><pre>i2 : OO_X(-3) ++ OO_X(4)

        1           1
o2 = OO  (-3) ++ OO  (4)
       X           X

o2 : coherent sheaf on X, free</pre>
</td></tr>
<tr><td><pre>i3 : oo ** oo

        1           2          1
o3 = OO  (-6) ++ OO  (1) ++ OO  (8)
       X           X          X

o3 : coherent sheaf on X, free</pre>
</td></tr>
</table>
</div>
</div>
</div>
</body>
</html>