Geometric rank of tensors and subrank of matrix multiplication

The rank of a matrix is a parameter of obvious importance, so it is natural to wonder what the right definition is for the rank of a higher-dimensional matrix -- that is, of a tensor (which can be thought of as a $d$-dimensional array of elements of a field $\mathbb F$). This question turns out not...

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Bibliographic Details
Main Authors: Swastik Kopparty, Guy Moshkovitz, Jeroen Zuiddam
Format: Article
Language:English
Published: Diamond Open Access Journals 2023-04-01
Series:Discrete Analysis
Online Access:https://doi.org/10.19086/da.73322