论文标题

$ q $ - cyclic $ p $ - gonal封面的封面

$q$-étale covers of cyclic $p$-gonal covers

论文作者

Carocca, Angel, Hidalgo, Rubén, Rodríguez, Rubí E.

论文摘要

在本文中,我们研究了Galois Group of Galois封面的$ Q $ Cyclicétale封面和任何奇数Prime $ p $的循环$ p $ gonal封面。此外,我们给出了与亚组给出的中间子覆盖物相关的某些prym和jacobian品种的异源分解的特性。

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.

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