16,051 formulas for Ottaviani's invariant of cubic threefolds

A. Abdesselam, C. Ikenmeyer, Gordon Royle

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    Abstract

    © 2015. We provide explicit combinatorial formulas for Ottaviani's degree 15 invariant which detects cubics in 5 variables that are sums of 7 cubes. Our approach is based on the chromatic properties of certain graphs and relies on computer searches and calculations.
    Original languageEnglish
    Pages (from-to)649-663
    JournalJournal of Algebra
    Volume447
    Early online date27 Nov 2015
    DOIs
    Publication statusPublished - 1 Feb 2016

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