<?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>CohomologyTally -- cohomology table</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_decompose_lp__Betti__Tally_rp.html">next</a> | <a href="_bott_lp__List_cm__Z__Z_cm__Z__Z_rp.html">previous</a> | <a href="_decompose_lp__Betti__Tally_rp.html">forward</a> | <a href="_bott_lp__List_cm__Z__Z_cm__Z__Z_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>CohomologyTally -- cohomology table</h1> <div class="single"><h2>Description</h2> <div>A <tt>CohomologyTally</tt> is designed to hold cohomology dimensions h^i(E(d-i)) in the i-th row and the d-th column of the table, for some sheaf or vector bundle E on P^n. The initial motivation was to provide a nice visual display of this information. However, some computations involving CohomologyTally are implemented.</div> </div> <div class="waystouse"><h2>Functions and methods returning a Cohomology tally :</h2> <ul><li><span>pureCohomologyTable, see <span><a href="_pure__Cohomology__Table_lp__List_cm__Z__Z_cm__Z__Z_rp.html" title="pure cohomology table given zeros of Hilbert polynomial">pureCohomologyTable(List,ZZ,ZZ)</a> -- pure cohomology table given zeros of Hilbert polynomial</span></span></li> </ul> <h2>Methods that use a Cohomology tally :</h2> <ul><li><span><tt>BettiTally * CohomologyTally</tt> (missing documentation<!-- tag: (*,BettiTally,CohomologyTally) -->)</span></li> <li><span><tt>CohomologyTally * BettiTally</tt> (missing documentation<!-- tag: (*,CohomologyTally,BettiTally) -->)</span></li> <li><span><tt>CohomologyTally ++ CohomologyTally</tt> (missing documentation<!-- tag: (++,CohomologyTally,CohomologyTally) -->)</span></li> <li><span><tt>CohomologyTally == CohomologyTally</tt> (missing documentation<!-- tag: (==,CohomologyTally,CohomologyTally) -->)</span></li> <li><span><tt>CohomologyTally ZZ</tt> (missing documentation<!-- tag: (SPACE,CohomologyTally,ZZ) -->)</span></li> <li><span><tt>net(CohomologyTally)</tt> (missing documentation<!-- tag: (net,CohomologyTally) -->)</span></li> <li><span><tt>ZZ * CohomologyTally</tt> (missing documentation<!-- tag: (*,ZZ,CohomologyTally) -->)</span></li> </ul> </div> <div class="waystouse"><h2>For the programmer</h2> <p>The object <a href="___Cohomology__Tally.html" title="cohomology table">CohomologyTally</a> is <span>a <a href="../../Macaulay2Doc/html/___Type.html">type</a></span>, with ancestor classes <a href="../../Macaulay2Doc/html/___Virtual__Tally.html" title="">VirtualTally</a> < <a href="../../Macaulay2Doc/html/___Tally.html" title="the class of all tally results">Tally</a> < <a href="../../Macaulay2Doc/html/___Hash__Table.html" title="the class of all hash tables">HashTable</a> < <a href="../../Macaulay2Doc/html/___Thing.html" title="the class of all things">Thing</a>.</p> </div> </div> </body> </html>