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Galois lines for the Artin–Schreier–Mumford curve
Institution:1. Faculty of School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, Anhui Province, 233030, PR China;2. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, PR China;1. Department of Applied Mathematics and Computer Science, Technical University of Denmark, Matematiktorvet 303B, 2800 Kgs. Lyngby, Denmark;2. Department of Mathematics and Statistics, University of Tromsø, Hansine Hansens veg 18, 9019, Norway;1. Department of Information Engineering and Mathematics, University of Siena, Via Roma 56, I-53100, Siena, Italy;2. D.I.C.A.T.A.M. (Section of Mathematics), University of Brescia, Via Branze 53, I-25123, Brescia, Italy;3. Faculty of Mathematics and Computer Science, University of Warmia and Mazury, Słoneczna 54, Olsztyn, Poland
Abstract:The arrangement of all Galois lines for the Artin–Schreier–Mumford curve in the projective 3-space is described. Surprisingly, there exist infinitely many Galois lines intersecting this curve.
Keywords:Galois line  Galois point  Artin–Schreier–Mumford curve  Automorphism group
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