A birational embedding with two Galois points for quotient curves |
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| Authors: | Satoru Fukasawa Kazuki Higashine |
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| Affiliation: | 1. Department of Mathematical Sciences, Faculty of Science, Yamagata University, Kojirakawa-machi 1-4-12, Yamagata 990-8560, Japan;2. Graduate School of Science and Engineering, Yamagata University, Kojirakawa-machi 1-4-12, Yamagata 990-8560, Japan;1. Department of Mathematics, Northeastern University, Boston, MA 02115, USA;2. Departamento de Matemática, Escola de Ciências e Tecnologia, Centro de Investigação em Matemática e Aplicações, Instituto de Investigação e Formação Avançada, Universidade de Évora, Rua Romão Ramalho, 59, P-7000-671 Évora, Portugal;1. Department of Mathematics, University of Arkansas, Fayetteville, AR 72701, United States of America;2. Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, United States of America;1. Department of Applied Mathematics, Ulyanovsk State University, Ulyanovsk 432970, Russia;2. Dipartimento di Ingegneria, Università di Palermo, Viale delle Scienze, Ed. 8, 90128 Palermo, Italy |
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| Abstract: | A criterion for the existence of a birational embedding with two Galois points for quotient curves is presented. We apply our criterion to several curves, for example, some cyclic subcovers of the Giulietti–Korchmáros curve or of the curves constructed by Skabelund. New examples of plane curves with two Galois points are described, as plane models of such quotient curves. |
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| Keywords: | Galois point Plane curve Galois group Automorphism group |
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