11 citations · 11 across the 4 of their papers we have counts for
7 papers
Abelian varieties and Riemann surfaces with generalized quaternion group action
Angel Carocca, Sebastián Reyes-Carocca, Rubí E. Rodríguez
In this article we consider Riemann surfaces and abelian varieties endowed with a group of automorphisms isomorphic to a generalized quaternion group. We provide isogeny decomposit…
-étale covers of cyclic -gonal covers
Angel Carocca, Rubén Hidalgo, Rubí E. Rodríguez
In this paper we study the Galois group of the Galois cover of the composition of a -cyclic étale cover and a cyclic -gonal cover for any odd prime . Furthermore, we give…
Decomposable Jacobians
Angel Carocca, Herbert Lange, Rubí E. Rodríguez
In this paper we give examples of smooth projective curves whose Jacobians are isogenus to a product of an arbitrarily high number of Jacobians
Equations for abelian subvarieties
Angel Carocca, Herbert Lange, Rubí E. Rodríguez
Given a finite group and an abelian variety acted on by , to any subgroup of , we associate an abelian subvariety on which the associated Hecke algebra $\ma…
Etale double covers of cyclic p-gonal covers
Angel Carocca, Herbert Lange, Rubí Rodríguez
This paper computes the Galois group of the Galois cover of the composition of an étale double cover of a cyclic -gonal cover for any prime . Moreover a relation between some…
On the connectedness of the singular locus of the moduli space of principally polarized abelian varieties
Sebastián Reyes-Carocca, Rubí E. Rodríguez
Let denote the moduli space of principally polarized abelian varieties of dimension In this paper we prove the connectedness of the singular sublocus of…
A generalisation of Kani-Rosen decomposition theorem for Jacobian varieties
Sebastián Reyes-Carocca, Rubí E. Rodríguez
In this short paper we generalise a theorem due to Kani and Rosen on decomposition of Jacobian varieties of Riemann surfaces with group action. This generalisation extends the set…