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

References in corpus (4)

• An algorithm for generic and low-rank specific identifiability of complex tensors
• Secant Varieties of (P ^1) X .... X (P ^1) (n-times) are NOT Defective for n \geq 5
• Computations and Equations for Segre-Grassmann hypersurfaces
• Homotopy techniques for tensor decomposition and perfect identifiability

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