Supercritical discrete restriction estimates for forms in many variables
Classical Analysis and ODEs
2020-04-07 v1 Number Theory
Abstract
We prove discrete restriction estimates for a broad class of hypersurfaces and varieties of intermediate codimension. For our result about hypersurfaces, we use Bourgain's arithmetic version of the Tomas--Stein method and Magyar's decomposition of Birch's hypersurfaces. For our result about varieties of higher codimension, we use the even moment method and works of Birch and Schmidt.
Cite
@article{arxiv.2004.02301,
title = {Supercritical discrete restriction estimates for forms in many variables},
author = {Brian Cook and Kevin Hughes and Eyvindur Palsson},
journal= {arXiv preprint arXiv:2004.02301},
year = {2020}
}
Comments
16 pages