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Galois points on quartic surfaces
Yoshihara, Hisao
7038
Let S be a smooth hypersurface in projective three space and consider a projection of S from P ∈ S to a plane H. This projection induces an extension of fields k(S)/k(H). The point P is called a Galois point if the extension is Galois. We study structures of quartic surfaces focusing on Galois points. We will show that the number of the Galois points is zero, one, two, four or eight and the existence of some rule of distribution of the Galois points.
journal article
Mathematical Society of Japan
2001
application/pdf
Journal of the Mathematical Society of Japan
3
53
731
743
Journal of the Mathematical Society of Japan
AA0070177X
0025-5645
https://niigata-u.repo.nii.ac.jp/record/2089/files/0705252.pdf
eng
http://doi.org/10.2969/jmsj/1213023732