q-etale covers of cyclic p-gonal covers

被引：1
|
作者：
Carocca, Angel [1 ]
Hidalgo, Ruben A. [1 ]
Rodriguez, Rubi E. [1 ]
机构：
[1] Univ La Frontera, Dept Matemat & Estadist, Temuco, Chile
来源：
JOURNAL OF ALGEBRA | 2021年 / 573卷
关键词：
Riemann surfaces; Coverings; Jacobian; Prym variety;
D O I：
10.1016/j.jalgebra.2020.12.033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the Galois group of the Galois cover of the composition of a q-cyclic etale cover and a cyclic p-gonal cover for any odd prime p. Furthermore, we give properties of isogenous decompositions of certain Prym and Jacobian varieties associated to intermediate subcovers given by subgroups. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码：393 / 409
页数：17
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