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q-étale covers of cyclic p-gonal covers
Journal of Algebra ( IF 0.8 ) Pub Date : 2021-01-14 , DOI: 10.1016/j.jalgebra.2020.12.033 Ángel Carocca , Rubén A. Hidalgo , Rubí E. Rodríguez
中文翻译:
q-循环p的传奇封面-多边形的封面
更新日期:2021-01-22
Journal of Algebra ( IF 0.8 ) Pub Date : 2021-01-14 , DOI: 10.1016/j.jalgebra.2020.12.033 Ángel Carocca , Rubén A. Hidalgo , Rubí E. Rodríguez
In this paper we study the Galois group of the Galois cover of the composition of a q-cyclic étale 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.
中文翻译:
q-循环p的传奇封面-多边形的封面
在本文中,我们研究了Galois覆盖的Galois群,其中q环étale覆盖和奇数p的循环p角覆盖的组成。此外,我们给出了某些Prym和Jacobian变种的同质分解性质,这些变质与由子组给出的中间子盖相关。