<?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>HyperplaneArrangements : Table of Contents</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body><div><a href="index.html">top</a> | <a href="master.html">index</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> <hr/> <h1>HyperplaneArrangements : Table of Contents</h1> <ul><li><span><span><a href="index.html" title="hyperplane arrangements">HyperplaneArrangements</a> -- hyperplane arrangements</span></span></li> <li><span><span><a href="___Arrangement.html" title="class of hyperplane arrangements">Arrangement</a> -- class of hyperplane arrangements</span></span></li> <li><span><span><a href="_arrangement.html" title="create a hyperplane arrangement">arrangement</a> -- create a hyperplane arrangement</span></span></li> <li><span><span><a href="___Arrangement_sp^_sp__Flat.html" title="restriction of arrangement to flat">Arrangement ^ Flat</a> -- restriction of arrangement to flat</span></span></li> <li><span><span><a href="___Arrangement_sp_us_sp__Flat.html" title="Subarrangement containing a fixed flat">Arrangement _ Flat</a> -- Subarrangement containing a fixed flat</span></span></li> <li><span><span><a href="_arrangement_lp__String_cm__Polynomial__Ring_rp.html" title="look up a built-in hyperplane arrangement">arrangement(String,PolynomialRing)</a> -- look up a built-in hyperplane arrangement</span></span></li> <li><span><span><tt>arrangementLibrary</tt> (missing documentation<!-- tag: arrangementLibrary -->)</span></span></li> <li><span><span><tt>arrangementSum</tt> (missing documentation<!-- tag: arrangementSum -->)</span></span></li> <li><span><span><tt>changeRing</tt> (missing documentation<!-- tag: changeRing -->)</span></span></li> <li><span><span><a href="_circuits.html" title="list the circuits of an arrangement">circuits</a> -- list the circuits of an arrangement</span></span></li> <li><span><span><a href="_closure.html" title="closure operation in the intersection lattice">closure</a> -- closure operation in the intersection lattice</span></span></li> <li><span><span><a href="_coefficients_lp__Arrangement_rp.html" title="create a matrix from the coefficients of the equations of an arrangment">coefficients(Arrangement)</a> -- create a matrix from the coefficients of the equations of an arrangment</span></span></li> <li><span><span><a href="_compress_lp__Arrangement_rp.html" title="extract nonzero equations">compress(Arrangement)</a> -- extract nonzero equations</span></span></li> <li><span><span><a href="_deletion.html" title="subarrangement given by deleting a hyperplane">deletion</a> -- subarrangement given by deleting a hyperplane</span></span></li> <li><span><span><a href="_der.html" title="Module of logarithmic derivations">der</a> -- Module of logarithmic derivations</span></span></li> <li><span><span><a href="_der_lp..._cm_sp__Strategy_sp_eq_gt_sp..._rp.html" title="">der(..., Strategy => ...)</a></span></span></li> <li><span><span><a href="_dual_lp__Arrangement_rp.html" title="the Gale dual of A">dual(Arrangement)</a> -- the Gale dual of A</span></span></li> <li><span><span><a href="___E__P__Y.html" title="compute the Eisenbud-Popescu-Yuzvinsky module of an arrangement">EPY</a> -- compute the Eisenbud-Popescu-Yuzvinsky module of an arrangement</span></span></li> <li><span><span><a href="_euler_lp__Flat_rp.html" title="Euler characteristic">euler(Flat)</a> -- Euler characteristic</span></span></li> <li><span><span><a href="___Flat.html" title="intersection of hyperplanes">Flat</a> -- intersection of hyperplanes</span></span></li> <li><span><span><a href="_flat.html" title="make a flat from a list of indices">flat</a> -- make a flat from a list of indices</span></span></li> <li><span><span><a href="___Flat_sp^_sp__Flat.html" title="meet operation in intersection lattice">Flat ^ Flat</a> -- meet operation in intersection lattice</span></span></li> <li><span><span><a href="___Flat_sp_vb_sp__Flat.html" title="join operation in intersection lattice">Flat | Flat</a> -- join operation in intersection lattice</span></span></li> <li><span><span><a href="_flats.html" title="list the flats of an arrangement of given rank">flats</a> -- list the flats of an arrangement of given rank</span></span></li> <li><span><span><a href="_graphic.html" title="Make a graphic arrangement">graphic</a> -- Make a graphic arrangement</span></span></li> <li><span><span><tt>HypAtInfinity</tt> (missing documentation<!-- tag: HypAtInfinity -->)</span></span></li> <li><span><span><a href="_is__Decomposable.html" title="test if an arrangement is decomposable">isDecomposable</a> -- test if an arrangement is decomposable</span></span></li> <li><span><span><a href="_matrix_lp__Arrangement_rp.html" title="create a matrix from the equations of an arrangement">matrix(Arrangement)</a> -- create a matrix from the equations of an arrangement</span></span></li> <li><span><span><a href="_meet.html" title="meet operation in intersection lattice">meet</a> -- meet operation in intersection lattice</span></span></li> <li><span><span><a href="_mult__Ideal.html" title="compute a multiplier ideal">multIdeal</a> -- compute a multiplier ideal</span></span></li> <li><span><span><a href="_orlik__Solomon.html" title="defining ideal for the Orlik-Solomon algebra">orlikSolomon</a> -- defining ideal for the Orlik-Solomon algebra</span></span></li> <li><span><span><a href="_orlik__Solomon_lp..._cm_sp__Hyp__At__Infinity_sp_eq_gt_sp..._rp.html" title="hyperplane at infinity">orlikSolomon(..., HypAtInfinity => ...)</a> -- hyperplane at infinity</span></span></li> <li><span><span><a href="_orlik__Solomon_lp..._cm_sp__Projective_sp_eq_gt_sp..._rp.html" title="specify projective complement">orlikSolomon(..., Projective => ...)</a> -- specify projective complement</span></span></li> <li><span><span><a href="_random__Arrangement.html" title="generate an arrangement at random">randomArrangement</a> -- generate an arrangement at random</span></span></li> <li><span><span><a href="_rank_lp__Arrangement_rp.html" title="compute the rank">rank(Arrangement)</a> -- compute the rank</span></span></li> <li><span><span><a href="_restriction.html" title="restriction of arrangement to flat/hyperplane">restriction</a> -- restriction of arrangement to flat/hyperplane</span></span></li> <li><span><span><a href="_ring_lp__Arrangement_rp.html" title="get the associated ring">ring(Arrangement)</a> -- get the associated ring</span></span></li> <li><span><span><a href="_sub__Arrangement.html" title="Subarrangement containing a fixed flat">subArrangement</a> -- Subarrangement containing a fixed flat</span></span></li> <li><span><span><tt>tolist</tt> (missing documentation<!-- tag: tolist -->)</span></span></li> <li><span><span><a href="_trim_lp__Arrangement_rp.html" title="minimize the generators">trim(Arrangement)</a> -- minimize the generators</span></span></li> <li><span><span><a href="_type__A.html" title="Type A reflection arrangement">typeA</a> -- Type A reflection arrangement</span></span></li> <li><span><span><a href="_type__A_lp__Z__Z_cm__Polynomial__Ring_rp.html" title="A_n arrangement with specified coordinate ring">typeA(ZZ,PolynomialRing)</a> -- A_n arrangement with specified coordinate ring</span></span></li> <li><span><span><a href="_type__A_lp__Z__Z_cm__Ring_rp.html" title="A_n reflection arrangement with specified coefficient ring">typeA(ZZ,Ring)</a> -- A_n reflection arrangement with specified coefficient ring</span></span></li> <li><span><span><a href="_type__B.html" title="Type B reflection arrangement">typeB</a> -- Type B reflection arrangement</span></span></li> <li><span><span><a href="_type__D.html" title="Type D reflection arrangement">typeD</a> -- Type D reflection arrangement</span></span></li> <li><span><span><a href="_vee.html" title="join operation in intersection lattice">vee</a> -- join operation in intersection lattice</span></span></li> </ul> </body> </html>
