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arxiv: 1402.2669 · v2 · pith:IROY3TUQnew · submitted 2014-02-11 · 🧮 math.AG · math.AC· math.CO

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

classification 🧮 math.AG math.ACmath.CO
keywords formulasinvariantottavianiapproachcalculationscertainchromaticcombinatorial
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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.

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