On the size of the automorphism group of a plane algebraic curve

被引：0

作者：

Anbar, Nurdagul ^{[1
]}

Bartoli, Daniele ^{[2
]}

Fanali, Stefania ^{[3
]}

Giulietti, Massimo ^{[2
]}

机构：

[1] Sabanci Univ Orhanli Tuzla, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkey

[2] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

[3] Univ Basilicata, Dipartimento Matemat & Informat, I-85100 Potenza, Italy

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2013年 / 217卷 / 07期

关键词：

FUNCTION-FIELDS; FUNCTION BODIES; REE TYPE; NUMBER; POINTS;

D O I：

10.1016/j.jpaa.2012.10.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let K be an algebraically closed field of characteristic p > 0, and let X be a curve over K of genus g >= 2. Assume that p > 2 and that X admits a non-singular plane model. The following result is proven: if X has more than 3(2g(2) + g)(root 8g + 1 + 3) automorphisms, then X is birationally equivalent to a Hermitian curve. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：1224 / 1236

页数：13

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