Multijoints and factorisation

DOI10.1007/s12220-023-01469-6arXiv2203.02328MaRDI QIDQ6154393

Michael Chi Yung Tang

Publication date: 15 February 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.02328

zbMATH Keywords

discrete geometryfactorisationwedge productsjointsmultijoints

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10) Configurations and arrangements of linear subspaces (14N20) Other finite incidence structures (geometric aspects) (51E30) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

• The endpoint case of the Bennett-Carbery-Tao multilinear Kakeya conjecture
• Bounds on oscillatory integral operators based on multilinear estimates
• A proof of the multijoints conjecture and Carbery's generalization
• The endpoint multilinear Kakeya theorem via the Borsuk-Ulam theorem
• Joints of varieties
• Non-transversal multilinear duality and joints
• On the size of Kakeya sets in finite fields
• The Joints Problem in $\mathbb{R}^n$
• Joints formed by lines and a $k$-plane, and a discrete estimate of Kakeya type
• Extensions to the Method of Multiplicities, with Applications to Kakeya Sets and Mergers
• Disentanglement, multilinear duality and factorisation for nonpositive operators
• Joints tightened

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