论文标题
许多变量中表格的超临界离散限制估计
Supercritical discrete restriction estimates for forms in many variables
论文作者
论文摘要
我们证明了一系列广泛的超曲面和中间编成的各种限制估计。对于我们关于Hypersurfaces的结果,我们使用了Bourgain的Tomas-Stein方法的算术版本和Magyar对Birch Hypersurfaces的分解。对于我们关于较高的编纂的品种的结果,我们使用桦木和施密特的偶数方法和作品。
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.