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A Fourier restriction theorem for a perturbed hyperbolic paraboloid: Polynomial partitioning

Author
Buschenhenke, Stefan; Müller, Detlef; Vargas Rey, Ana Maríauntranslated
Entity
UAM. Departamento de Matemáticas
Publisher
Springer
Date
2022-06-01
Citation
Mathematische Zeitschrift 301.2 (2022): 1913 - 1938
ISSN
0025-5874 (print); 1432-1823 (online)
DOI
10.1007/s00209-021-02948-8
Funded by
Stefan Buschenhenke was partially supported by the ERC grant 307617. Stefan Buschenhenke and Detlef Müller were partially supported by the DFG Grants MU 761/ 11-1 and MU 761/ 11-2. Ana Vargas was partially supported by Grants PID2019-105599GB-I00 / AEI / 10.13039/501100011033 (Ministerio de Ciencia e innovación) and MTM2016-76566-P (Ministerio de Ciencia, Innovación y Universidades), Spain
Project
info:eu-repo/grantAgreement/EC/FP7/307617/EU//TMHA; Gobierno de España. PID2019-105599GB-I00; Gobierno de España. MTM2016-76566-P
Editor's Version
https://doi.org/10.1007/s00209-021-02948-8
Subjects
Fourier Restriction; Hyperbolic Hypersurface; Polynomial Partitioning; Matemáticas
URI
http://hdl.handle.net/10486/707284
Rights
© The Author(s) 2022

Licencia Creative Commons
Esta obra está bajo una Licencia Creative Commons Atribución 4.0 Internacional.

Abstract

We consider a surface with negative curvature in R3, which is a cubic perturbation of the saddle. For this surface, we prove a new restriction theorem, analogous to the theorem for paraboloids proved by L. Guth in 2016. This specific perturbation has turned out to be of fundamental importance also to the understanding of more general classes of one-variate perturbations, and we hope that the present paper will further help to pave the way for the study of general perturbations of the saddle by means of the polynomial partitioning method
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Google™ Scholar:Buschenhenke, Stefan - Müller, Detlef - Vargas Rey, Ana María

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