The Kakeya conjecture on local fields of positive characteristic

被引：0

作者：

Salvatore, Alejo ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

MATHEMATIKA | 2023年 / 69卷 / 01期

关键词：

SETS; SIZE;

D O I：

10.1112/mtk.12171

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We state and prove an analogue of the Kakeya conjecture for the local field Fq((t))$\mathbb {F}_q(\!(t)\!)$. This extends Arsovski's result on the Kakeya conjecture to local fields of positive characteristic. We also prove the Kakeya maximal conjecture in this setting.

引用

页码：1 / 16

页数：16

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