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$q$-étale covers of cyclic $p$-gonal covers
Published 27 Feb 2020 in math.AG | (2002.12082v1)
Abstract: 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.
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