2022-05-19T11:15:39Zhttps://niigata-u.repo.nii.ac.jp/oaioai:niigata-u.repo.nii.ac.jp:000020892022-02-14T07:01:15ZGalois points on quartic surfacesYoshihara, HisaoLet 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.Mathematical Society of Japan2001engjournal articleVoRhttp://hdl.handle.net/10191/4850https://niigata-u.repo.nii.ac.jp/records/2089http://doi.org/10.2969/jmsj/1213023732AA0070177X0025-5645Journal of the Mathematical Society of JapanJournal of the Mathematical Society of Japan533731743https://niigata-u.repo.nii.ac.jp/record/2089/files/0705252.pdfapplication/pdf1.9 MB2019-07-29