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Slice Rank and Analytic Rank for Trilinear Forms by Lampert, Amichai is a scholarly article available to read on EtoBox.

What is Slice Rank and Analytic Rank for Trilinear Forms about?

In this note, we present an elementary proof of the fact that the slice rank of a trilinear form over a finite field is bounded above by a linear expression in the analytic rank. The existing proofs by Adiprasito-Kazhdan-Ziegler and Cohen-Moshkovitz both rely on results of Derksen via geometric invariant theory. A novel feature of our proof is that the linear forms appearing in the slice rank decomposition are obtained from the trilinear form by fixing coordinates.

Author

Lampert, Amichai

Published

2024

Language

EN