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On the geometry of geometric rank (2012.04679v2)
Published 8 Dec 2020 in cs.CC and math.AG
Abstract: 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 $C3\otimes C3\otimes C3$, classification of tensors with geometric rank two, and showing that upper bounds on geometric rank imply lower bounds on tensor rank.