Equations for the fifth secant variety of Segre products of projective spaces

Abstract

We describe a computational proof that the fifth secant variety of the Segre product of five copies of the projective line is a codimension 2 complete intersection of equations of degree 6 and 16. Our computations rely on pseudo-randomness, and numerical accuracy, so parts of our proof are only valid "with high probability".

7 pages, supporting code included as ancillary files; v2: reorganized and expanded text