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<!DOCTYPE html> <html lang="en"> <head> <title>M0nbar : Table of Contents</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="calculations for divisors and curves on the moduli space of stable n-pointed genus zero curves" href="index.html">M0nbar</a> :: <a href="toc.html">Table of Contents</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> next | previous | forward | backward | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <h1>M0nbar : Table of Contents</h1> <ul> <li><span><a title="calculations for divisors and curves on the moduli space of stable n-pointed genus zero curves" href="index.html">M0nbar</a> -- calculations for divisors and curves on the moduli space of stable n-pointed genus zero curves</span></li> <li><span><a title="Bibliography for the M0nbar package" href="___Bibliography.html">Bibliography</a> -- Bibliography for the M0nbar package</span></li> <li><span><a title="irreducible components of the boundary of the moduli space of stable n-pointed genus zero curves" href="___Boundary_spdivisors.html">Boundary divisors</a> -- irreducible components of the boundary of the moduli space of stable n-pointed genus zero curves</span></li> <li><span><a title="class implementing curves on the moduli space of stable n-pointed genus zero curves" href="___Curve__Class__Representative__M0nbar.html">CurveClassRepresentativeM0nbar</a> -- class implementing curves on the moduli space of stable n-pointed genus zero curves</span></li> <li><span><a title="creates an object of type CurveClassRepresentativeM0nbar" href="_curve__Class__Representative__M0nbar.html">curveClassRepresentativeM0nbar</a> -- creates an object of type CurveClassRepresentativeM0nbar</span></li> <li><span><a title="add two curve class representatives on M0nbar" href="___Curve__Class__Representative__M0nbar_sp_pl_sp__Curve__Class__Representative__M0nbar.html">CurveClassRepresentativeM0nbar + CurveClassRepresentativeM0nbar</a> -- add two curve class representatives on M0nbar</span></li> <li><span><a title="subtract two curve class representatives on M0nbar" href="___Curve__Class__Representative__M0nbar_sp-_sp__Curve__Class__Representative__M0nbar.html">CurveClassRepresentativeM0nbar - CurveClassRepresentativeM0nbar</a> -- subtract two curve class representatives on M0nbar</span></li> <li><span><a title="creates an object of type CurveClassRepresentativeM0nbar" href="_curve__Class__Representative__M0nbar_lp__Z__Z_cm__Hash__Table_rp.html">curveClassRepresentativeM0nbar(ZZ,HashTable)</a> -- creates an object of type CurveClassRepresentativeM0nbar</span></li> <li><span><a title="class implementing divisors on the moduli space of stable n-pointed genus zero curves" href="___Divisor__Class__Representative__M0nbar.html">DivisorClassRepresentativeM0nbar</a> -- class implementing divisors on the moduli space of stable n-pointed genus zero curves</span></li> <li><span><a title="creates an object of type DivisorClassRepresentativeM0nbar" href="_divisor__Class__Representative__M0nbar.html">divisorClassRepresentativeM0nbar</a> -- creates an object of type DivisorClassRepresentativeM0nbar</span></li> <li><span><a title="add two divisor class representatives on M0nbar" href="___Divisor__Class__Representative__M0nbar_sp_pl_sp__Divisor__Class__Representative__M0nbar.html">DivisorClassRepresentativeM0nbar + DivisorClassRepresentativeM0nbar</a> -- add two divisor class representatives on M0nbar</span></li> <li><span><a title="subtract two divisor class representatives on M0nbar" href="___Divisor__Class__Representative__M0nbar_sp-_sp__Divisor__Class__Representative__M0nbar.html">DivisorClassRepresentativeM0nbar - DivisorClassRepresentativeM0nbar</a> -- subtract two divisor class representatives on M0nbar</span></li> <li><span><a title="creates an object of type DivisorClassRepresentativeM0nbar" href="_divisor__Class__Representative__M0nbar_lp__Z__Z_cm__Hash__Table_rp.html">divisorClassRepresentativeM0nbar(ZZ,HashTable)</a> -- creates an object of type DivisorClassRepresentativeM0nbar</span></li> <li><span><a title="effective curves in the moduli space of stable n-pointed genus zero curves" href="___F_spcurves.html">F curves</a> -- effective curves in the moduli space of stable n-pointed genus zero curves</span></li> <li><span><a title="lists the F-curves for a given n" href="___Fcurves.html">Fcurves</a> -- lists the F-curves for a given n</span></li> <li><span><a title="a list of the F-curves with the given shape" href="___Fcurves__Of__Given__Shape.html">FcurvesOfGivenShape</a> -- a list of the F-curves with the given shape</span></li> <li><span><a title="intersection number of a curve class and divisor class" href="_intersect.html">intersect</a> -- intersection number of a curve class and divisor class</span></li> <li><span><a title="intersection number of a divisor class and curve class" href="_intersect_lp__Divisor__Class__Representative__M0nbar_cm__Curve__Class__Representative__M0nbar_rp.html">intersect(DivisorClassRepresentativeM0nbar,CurveClassRepresentativeM0nbar)</a> -- intersection number of a divisor class and curve class</span></li> <li><span><a title="determines whether a curve class expression is effective" href="_is__Effective__Expression.html">isEffectiveExpression</a> -- determines whether a curve class expression is effective</span></li> <li><span><a title="determines whether a divisor class expression is effective" href="_is__Effective__Expression_lp__Divisor__Class__Representative__M0nbar_rp.html">isEffectiveExpression(DivisorClassRepresentativeM0nbar)</a> -- determines whether a divisor class expression is effective</span></li> <li><span><a title="check whether two curve class representatives are numerically equivalent" href="_is__Equivalent.html">isEquivalent</a> -- check whether two curve class representatives are numerically equivalent</span></li> <li><span><a title="check whether two divisor class representatives are numerically equivalent" href="_is__Equivalent_lp__Divisor__Class__Representative__M0nbar_cm__Divisor__Class__Representative__M0nbar_rp.html">isEquivalent(DivisorClassRepresentativeM0nbar,DivisorClassRepresentativeM0nbar)</a> -- check whether two divisor class representatives are numerically equivalent</span></li> <li><span><a title="write the Keel relation among F curves based on the input lists" href="___Keel__Relation__Among__Curves.html">KeelRelationAmongCurves</a> -- write the Keel relation among F curves based on the input lists</span></li> <li><span><a title="sum of the negative coefficients in CurveClassRepresentativeM0nbar" href="_negative__Sum.html">negativeSum</a> -- sum of the negative coefficients in CurveClassRepresentativeM0nbar</span></li> <li><span><a title="computes the nonadjacent basis of divisors on M0nbar" href="_nonadjacent__Basis.html">nonadjacentBasis</a> -- computes the nonadjacent basis of divisors on M0nbar</span></li> <li><span><a title="multiply a curve class representatives on M0nbar by a scalar" href="___Number_sp_st_sp__Curve__Class__Representative__M0nbar.html">Number * CurveClassRepresentativeM0nbar</a> -- multiply a curve class representatives on M0nbar by a scalar</span></li> <li><span><a title="multiply a divisor class representatives on M0nbar by a scalar" href="___Number_sp_st_sp__Divisor__Class__Representative__M0nbar.html">Number * DivisorClassRepresentativeM0nbar</a> -- multiply a divisor class representatives on M0nbar by a scalar</span></li> <li><span><a title="compute the image of a curve class representative under a permutation of the marked points" href="_permute.html">permute</a> -- compute the image of a curve class representative under a permutation of the marked points</span></li> <li><span><a title="compute the image of a divisor class representative under a permutation of the marked points" href="_permute_lp__List_cm__Divisor__Class__Representative__M0nbar_rp.html">permute(List,DivisorClassRepresentativeM0nbar)</a> -- compute the image of a divisor class representative under a permutation of the marked points</span></li> <li><span><a title="seeks to write a curve class as an effective sum of F-curves" href="_seek__Effective__Expression.html">seekEffectiveExpression</a> -- seeks to write a curve class as an effective sum of F-curves</span></li> <li><span><a title="computes the singleton spine basis of curves on M0nbar" href="_singleton__Spine__Basis.html">singletonSpineBasis</a> -- computes the singleton spine basis of curves on M0nbar</span></li> <li><span><a title="convert to TeX format" href="_tex_lp__Curve__Class__Representative__M0nbar_rp.html">tex(CurveClassRepresentativeM0nbar)</a> -- convert to TeX format</span></li> <li><span><a title="convert to TeX format" href="_tex_lp__Divisor__Class__Representative__M0nbar_rp.html">tex(DivisorClassRepresentativeM0nbar)</a> -- convert to TeX format</span></li> <li><span><a title="write a curve in the basis dual to the nonadjacent basis" href="_write__Curve__In__Dual__Nonadjacent__Basis.html">writeCurveInDualNonadjacentBasis</a> -- write a curve in the basis dual to the nonadjacent basis</span></li> <li><span><a title="write a curve class in the singleton spine basis of curve" href="_write__Curve__In__Singleton__Spine__Basis.html">writeCurveInSingletonSpineBasis</a> -- write a curve class in the singleton spine basis of curve</span></li> <li><span><a title="write a curve class in the singleton spine basis of curve" href="_write__Curve__In__Singleton__Spine__Basis_lp__Z__Z_cm__List_rp.html">writeCurveInSingletonSpineBasis(ZZ,List)</a> -- write a curve class in the singleton spine basis of curve</span></li> <li><span><a title="write a divisor in the nonadjacent basis" href="_write__Divisor__In__Nonadjacent__Basis.html">writeDivisorInNonadjacentBasis</a> -- write a divisor in the nonadjacent basis</span></li> </ul> </body> </html>