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
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页码：1 / 16
页数：16
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