Bull. Korean Math. Soc. 2021; 58(3): 617-635
Online first article March 5, 2021 Printed May 31, 2021
https://doi.org/10.4134/BKMS.b200428
Copyright © The Korean Mathematical Society.
Taro Hayashi
Kindai University
Let $X$ be a smooth hypersurface $X$ of degree $d\geq4$ in a projective space $\mathbb P^{n+1}$. We consider a projection of $X$ from $p\in\mathbb P^{n+1}$ to a plane $H\cong\mathbb P^n$. This projection induces an extension of function fields $\mathbb C(X)/\mathbb C(\mathbb P^n)$. The point $p$ is called a Galois point if the extension is Galois. In this paper, we will give necessary and sufficient conditions for $X$ to have Galois points by using linear automorphisms.
Keywords: Smooth hypersurface, automorphism, Galois point, Galois extension
MSC numbers: Primary 14J70; Secondary 12F10
2023; 60(6): 1427-1437
2018; 55(2): 507-514
2014; 51(4): 1175-1186
2012; 49(4): 885-898
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd