Pith. sign in

REVIEW 1 cited by

A note on Fourier restriction and nested Polynomial Wolff axioms

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2010.02251 v1 pith:SEPPL3VU submitted 2020-10-05 math.CA

Jonathan Hickman , Joshua Zahl This is my paper · ORCID
classification math.CA
keywords fouriernestednotepolynomialrestrictionasymptoticaxiomscombining
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

This note records an asymptotic improvement on the known $L^p$ 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. New Kakeya estimates using Gromov's algebraic lemma

    math.CA 2019-08 accept novelty 8.0 of 10

    This paper proves new Kakeya maximal function estimates in R^n at dimension d(n) = max_k min(n-k+2, (n^2+k^2+n-k)/(2n)), improving the previous record in all dimensions n >= 5 except n = 6.

Pith tools