16,051 formulas for Ottaviani's invariant of cubic threefolds
Algebraic Geometry
2015-05-01 v2 Commutative Algebra
Combinatorics
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.
Keywords
Cite
@article{arxiv.1402.2669,
title = {16,051 formulas for Ottaviani's invariant of cubic threefolds},
author = {Abdelmalek Abdesselam and Christian Ikenmeyer and Gordon Royle},
journal= {arXiv preprint arXiv:1402.2669},
year = {2015}
}
Comments
10 pages, 4 figures, 1 ancillary file