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arXiv · 2004.02301

Supercritical discrete restriction estimates for forms in many variables

Brian Cook·Kevin Hughes·Eyvindur Palsson
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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.

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Brian Cook, Kevin Hughes, Eyvindur Palsson. 2020-04-05. Supercritical discrete restriction estimates for forms in many variables. https://arxiv.org/abs/2004.02301

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