A birational embedding with two Galois points for certain Artin-Schreier curves

被引：4

作者：

Fukasawa, Satoru ^{[1
]}

Higashine, Kazuki ^{[2
]}

机构：

[1] Yamagata Univ, Dept Math Sci, Fac Sci, Kojirakawa Machi 1-4-12, Yamagata 9908560, Japan

[2] Yamagata Univ, Grad Sch Sci & Engn, Kojirakawa Machi 1-4-12, Yamagata 9908560, Japan

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2018年 / 52卷

关键词：

Galois point; Galois group; Plane curve; Automorphism group; FIELD-THEORY;

D O I：

10.1016/j.ffa.2018.04.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that two curves of Artin-Schreier type have a birational embedding into a projective plane with two Galois points. As a consequence, all curves with large automorphism groups in the classification list by Henn have a birational embedding with two Galois points. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：281 / 288

页数：8

共 8 条

[1] Fukasawa S., PREPRINT
[2] Hirschfeld J.W.P., 2008, Princeton Series in Applied Mathematics
[3] Galois points for a Hermitian curve
Homma, Masaaki
[J]. COMMUNICATIONS IN ALGEBRA, 2006, 34 (12) : 4503 - 4511
[4] Field theory for function fields of plane quartic curves
Miura, K
[J]. JOURNAL OF ALGEBRA, 2000, 226 (01) : 283 - 294
[5] AUTOMORPHISM GROUP OF AN ALGEBRAIC FUNCTION BODY OF PRIME NUMBER CHARACTERISTIC .2. SPECIAL TYPE OF FUNCTION BODIES
STICHTENOTH, H
[J]. ARCHIV DER MATHEMATIK, 1973, 24 (06) : 615 - 631
[6] Stichtenoth H., 1993, Algebraic Function Fields and Codes
[7] Function field theory of plane curves by dual curves
Yoshihara, H
[J]. JOURNAL OF ALGEBRA, 2001, 239 (01) : 340 - 355
[8] Yoshihara H., List of problems

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