Polynomial bound for partition rank in terms of analytic rank
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Publication:2334613
DOI10.1007/s00039-019-00505-4zbMath1442.11027arXiv1902.09830OpenAlexW2955654011WikidataQ127643473 ScholiaQ127643473MaRDI QIDQ2334613
Publication date: 7 November 2019
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.09830
Related Items (12)
The analytic rank of tensors and its applications ⋮ Approximately symmetric forms far from being exactly symmetric ⋮ Inverse theorem for certain directional Gowers uniformity norms ⋮ Partition and analytic rank are equivalent over large fields ⋮ On rank in algebraic closure ⋮ Relative rank and regularization ⋮ Subspaces of tensors with high analytic rank ⋮ Properties of high rank subvarieties of affine spaces ⋮ Applications of algebraic combinatorics to algebraic geometry ⋮ Unnamed Item ⋮ Polynomial bound for the partition rank vs the analytic rank of tensors ⋮ A note on extensions of multilinear maps defined on multilinear varieties
Cites Work
- Linear forms and higher-degree uniformity for functions on \(\mathbb F^n_p\)
- Linear equations in primes
- Improved bounds for the extremal number of subdivisions
- The partition rank of a tensor and \(k\)-right corners in \(\mathbb{F}_q^n\)
- Properties of high rank subvarieties of affine spaces
- Nonconventional ergodic averages and nilmanifolds
- The distribution of polynomials over finite fields, with applications to the Gowers norms
- The analytic rank of tensors and its applications
- A new proof of Szemerédi's theorem
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