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.

中文翻译：

---

关于傅立叶限制和嵌套多项式沃尔夫公理的注释

本笔记记录了高维傅里叶限制猜想的已知L ^p范围的渐近改进。这是通过将 Guth 的多项式划分方法与最近关于管与嵌套品种家族相交的几何结果相结合而获得的。