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<!DOCTYPE html> <html lang="en"> <head> <title>K3Carpets : 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="The unique Gorenstein double structure on a surface scroll" href="index.html">K3Carpets</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>K3Carpets : Table of Contents</h1> <ul> <li><span><a title="The unique Gorenstein double structure on a surface scroll" href="index.html">K3Carpets</a> -- The unique Gorenstein double structure on a surface scroll</span></li> <li><span><a title="add Grading to a Complex" href="_all__Gradings.html">allGradings</a> -- add Grading to a Complex</span></li> <li><span><a title="analyze the (a+1)-st constant strand of F over ZZ" href="_analyze__Strand.html">analyzeStrand</a> -- analyze the (a+1)-st constant strand of F over ZZ</span></li> <li><span><a title="Carpet of given genus and Clifford index" href="_canonical__Carpet.html">canonicalCarpet</a> -- Carpet of given genus and Clifford index</span></li> <li><span><a title="Homotopies on the resolution of a K3 carpet" href="_canonical__Homotopies.html">canonicalHomotopies</a> -- Homotopies on the resolution of a K3 carpet</span></li> <li><span><a title="Ideal of the unique Gorenstein double structure on a 2-dimensional scroll" href="_carpet.html">carpet</a> -- Ideal of the unique Gorenstein double structure on a 2-dimensional scroll</span></li> <li><span><a title="compute the Betti tables of a carpet of given genus and Clifford index over a prime field of characteristic p" href="_carpet__Betti__Table.html">carpetBettiTable</a> -- compute the Betti tables of a carpet of given genus and Clifford index over a prime field of characteristic p</span></li> <li><span><a title="compute the Betti tables of a carpet of given genus and Clifford index over all prime fields" href="_carpet__Betti__Tables.html">carpetBettiTables</a> -- compute the Betti tables of a carpet of given genus and Clifford index over all prime fields</span></li> <li><span><a title="compute the determinant of the crucial constant strand of a carpet X(a,b)" href="_carpet__Det.html">carpetDet</a> -- compute the determinant of the crucial constant strand of a carpet X(a,b)</span></li> <li><span><a title="compute the bound for the good types in case of k resonance" href="_compute__Bound.html">computeBound</a> -- compute the bound for the good types in case of k resonance</span></li> <li><span><a title="Union of planes joining points of rational normal curves according to a given correspondence" href="_correspondence__Scroll.html">correspondenceScroll</a> -- Union of planes joining points of rational normal curves according to a given correspondence</span></li> <li><span><a title="compute the Cox matrices" href="_cox__Matrices.html">coxMatrices</a> -- compute the Cox matrices</span></li> <li><span><a title="Ideal of a degenerate K3 surface X_e(a,b)" href="_degenerate__K3.html">degenerateK3</a> -- Ideal of a degenerate K3 surface X_e(a,b)</span></li> <li><span><a title="compute the Betti tables of a degenerate K3 over all prime fields" href="_degenerate__K3__Betti__Tables.html">degenerateK3BettiTables</a> -- compute the Betti tables of a degenerate K3 over all prime fields</span></li> <li><span><a title="Option for carpet, canonicalCarpet" href="___Fine__Grading.html">FineGrading</a> -- Option for carpet, canonicalCarpet</span></li> <li><span><a title="attempts to produce a Gorenstein double structure J subset I" href="_gorenstein__Double.html">gorensteinDouble</a> -- attempts to produce a Gorenstein double structure J subset I</span></li> <li><span><a title="matrix with constant anti-diagonal entries" href="_hankel__Matrix.html">hankelMatrix</a> -- matrix with constant anti-diagonal entries</span></li> <li><span><a title="compute the ranks of the quadratic homotopies on a carpet" href="_homotopy__Ranks.html">homotopyRanks</a> -- compute the ranks of the quadratic homotopies on a carpet</span></li> <li><span><a title="returns the irrelevant ideal of a multi-graded ring" href="_irrelevant__Ideal.html">irrelevantIdeal</a> -- returns the irrelevant ideal of a multi-graded ring</span></li> <li><span><a title="Constructs the multi-graded ring of a product of copies of P^1 (pp is a synonym)" href="_product__Of__Projective__Spaces.html">productOfProjectiveSpaces</a> -- Constructs the multi-graded ring of a product of copies of P^1 (pp is a synonym)</span></li> <li><span><a title="compute the relative quadrics" href="_relative__Equations.html">relativeEquations</a> -- compute the relative quadrics</span></li> <li><span><a title="compute the relative resolution" href="_relative__Resolution.html">relativeResolution</a> -- compute the relative resolution</span></li> <li><span><a title="compute the twists in the relative resolution" href="_relative__Resolution__Twists.html">relativeResolutionTwists</a> -- compute the twists in the relative resolution</span></li> <li><span><a title="compute the resonance determinant of the crucial constant strand of a degenerate K3 X_e(a,a)" href="_resonance__Det.html">resonanceDet</a> -- compute the resonance determinant of the crucial constant strand of a degenerate K3 X_e(a,a)</span></li> <li><span><a title="compute the splitting type of the resonance scroll" href="_resonance__Scroll.html">resonanceScroll</a> -- compute the splitting type of the resonance scroll</span></li> <li><span><a title="multi-graded Ideal of the image of a map to a product of projective spaces" href="_scheme__In__Product.html">schemeInProduct</a> -- multi-graded Ideal of the image of a map to a product of projective spaces</span></li> <li><span><a title="get the names of generators in the (nonminimal) Schreyer resolution according to Schreyer's convention" href="_schreyer__Name.html">schreyerName</a> -- get the names of generators in the (nonminimal) Schreyer resolution according to Schreyer's convention</span></li> <li><span><a title="Option for carpet, canonicalCarpet" href="___Scrolls.html">Scrolls</a> -- Option for carpet, canonicalCarpet</span></li> <li><span><a title="Ideal of the small diagonal in (P^1)^n" href="_small__Diagonal.html">smallDiagonal</a> -- Ideal of the small diagonal in (P^1)^n</span></li> </ul> </body> </html>