论文标题
球形扩展定理和阳性特征的应用
A spherical extension theorem and applications in positive characteristic
论文作者
论文摘要
在本文中，我们证明了在$ \ mathbb {f} _q^d $中的Square Radii球体的扩展定理，该定理改善了Iosevich和Koh（2010）获得的结果。我们的主要工具是一个新的点型磨床入射率，它将通过作者和Lee（2022）引起的锥体限制定理得出。还将讨论有关距离问题的申请。
In this paper, we prove an extension theorem for spheres of square radii in $\mathbb{F}_q^d$, which improves a result obtained by Iosevich and Koh (2010). Our main tool is a new point-hyperplane incidence bound which will be derived via a cone restriction theorem due to the authors and Lee (2022). Applications on the distance problems will also be discussed.
