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

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• 作者：Abdelmalek Abdesselam^a ; ^{malek@virginia.edu" class="auth_mail" title="E-mail the corresponding author} ; Christian Ikenmeyer^b ; ^{ciken@math.tamu.edu" class="auth_mail" title="E-mail the corresponding author} ; Gordon Royle^c ; ^{gordon.royle@uwa.edu.au" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15A72 ; 14L35 ; 05C15 ; 05C30
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：447
• 期：Complete
• 页码：649-663
• 全文大小：398 K

文摘

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.