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

A. Abdesselam; C. Ikenmeyer; Gordon Royle

doi:10.1016/j.jalgebra.2015.11.009

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

A. Abdesselam, C. Ikenmeyer, Gordon Royle

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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 language	English
Pages (from-to)	649-663
Number of pages	15
Journal	Journal of Algebra
Volume	447
Early online date	27 Nov 2015
DOIs	https://doi.org/10.1016/j.jalgebra.2015.11.009
Publication status	Published - 1 Feb 2016

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

abstract = "{\textcopyright} 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.",

author = "A. Abdesselam and C. Ikenmeyer and Gordon Royle",

year = "2016",

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doi = "10.1016/j.jalgebra.2015.11.009",

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AU - Abdesselam, A.

AU - Ikenmeyer, C.

AU - Royle, Gordon

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N2 - © 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.

AB - © 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.

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DO - 10.1016/j.jalgebra.2015.11.009

M3 - Article

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VL - 447

SP - 649

EP - 663

JO - Journal of Algebra

JF - Journal of Algebra

ER -

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

Abstract

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