On the geometry of geometric rank
ALGEBRA & NUMBER THEORY(2022)
摘要
We make a geometric study of the geometric rank of tensors recently introduced by Kopparty et al. Results include classification of tensors with degenerate geometric rank in C-3 circle times C-3 circle times C-3 circle times classification of tensors with geometric rank two, and showing that upper bounds on geometric rank imply lower bounds on tensor rank.
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关键词
geometric rank, matrix multiplication complexity, tensor rank, asymptotic rank, laser method
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