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

作者：Abdesselam, Abdelmalek; Ikenmeyer, Christian^*; Royle, Gordon

来源：Journal of Algebra, 2016, 447: 649-663.

DOI：10.1016/j.jalgebra.2015.11.009

• Invariant theory
• Veronese variety
• Secant variety
• Border rank
• Chromatic number

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.

• 出版日期2016-2-1