Uniform stability of ranks

2024/11/05 by Moshkovitz, Guy, Zhu, Daniel G. · 3 citations
#11Y16 #12E20 (Secondary) #15A69 (Primary) 11G20 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.03412

Abstract

Chen and Ye recently proved that the analytic rank of tensors is stable under field extensions, assuming a fixed base field. Using a more careful analysis, we show that this assumption is unnecessary.

Cited by

• Isotropy and completeness indices of multilinear maps
• Slice rank and partition rank of the determinant
• Bounds for Geometric rank in Terms of Subrank

Related

• Stability of ranks under field extensions
• Low analytic rank implies low partition rank for tensors
• Quasi-linear relation between partition and analytic rank
• An Axiomatic Approach to Tensor Rank Functions
• Bounds for Geometric rank in Terms of Subrank