Curves with more than one inner Galois point

JOURNAL OF ALGEBRA

卷:566

Article

Korchmaros, Gabor¹  Lia, Stefano¹  Timpanella, Marco¹ 

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

关键词: Algebraic curves;    Algebraic function fields;    Positive characteristic;    Automorphism groups;   

DOI  :  10.1016/j.jalgebra.2020.08.024

来源: Elsevier

【 摘 要 】

Let C be an irreducible plane curve of PG(2, K) where K is an algebraically closed field of characteristic p >= 0. A point Q is an element of C is an inner Galois point for C if the projection pi(Q) from Q is Galois. Assume that C has two different inner Galois points Q(1) and Q(2), both simple. Let G(1) and G(2) be the respective Galois groups. Under the assumption that G(i) fixes Q(i), for = 1, 2, we provide a complete classification of G = < G(1), G(2)> and we exhibit a curve for each such G. Our proof relies on deeper results from group theory. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free