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arXiv · 2002.12082

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

Angel Carocca·Rubén Hidalgo·Rubí E. Rodríguez
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Abstract

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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Angel Carocca, Rubén Hidalgo, Rubí E. Rodríguez. 2020-02-27. $q$-étale covers of cyclic $p$-gonal covers. https://arxiv.org/abs/2002.12082

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