A note on Fourier restriction and nested Polynomial Wolff axioms

Jonathan Hickman, Joshua Zahl

Research output: Working paper

Abstract

This note records an asymptotic improvement on the known Lp range for the Fourier restriction conjecture in high dimensions. This is obtained by combining Guth's polynomial partitioning method with recent geometric results regarding intersections of tubes with nested families of varieties.
Original languageEnglish
PublisherArXiv
Number of pages24
Publication statusPublished - 5 Oct 2020

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