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arXiv · 1402.2669

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

Abdelmalek Abdesselam·Christian Ikenmeyer·Gordon Royle
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Abstract

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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Abdelmalek Abdesselam, Christian Ikenmeyer, Gordon Royle. 2014-02-11. 16,051 formulas for Ottaviani's invariant of cubic threefolds. https://arxiv.org/abs/1402.2669

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