KAKEYA‐TYPE SETS IN LOCAL FIELDS WITH FINITE RESIDUE FIELD

DOI10.1112/S0025579315000388zbMath1342.28008arXiv1503.07574MaRDI QIDQ2810743

Robert Fraser

Publication date: 6 June 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.07574

zbMATH Keywords

local fielddiscrete valuation ringKakeya set

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75)

Related Items (4)

Proof of the Kakeya set conjecture over rings of integers modulo square-free N ⋮ The 𝑝-adic Kakeya conjecture ⋮ The Kakeya conjecture on local fields of positive characteristic ⋮ Almost all non-archimedean Kakeya sets have measure zero

Cites Work

• New bounds for Kakeya problems
• An improved bound on the Minkowski dimension of Besicovitch sets in \(\mathbb{R}^3\)
• An improved bound for Kakeya type maximal functions
• On the size of Kakeya sets in finite fields
• THE KAKEYA SET AND MAXIMAL CONJECTURES FOR ALGEBRAIC VARIETIES OVER FINITE FIELDS
• Families of plane curves having translates in a set of measure zero
• Subgroups and subrings of profinite rings
• KAKEYA SETS OVER NON‐ARCHIMEDEAN LOCAL RINGS
• Families of surfaces lying in a null set
• An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension

This page was built for publication: KAKEYA‐TYPE SETS IN LOCAL FIELDS WITH FINITE RESIDUE FIELD