2 citations · 5 across the 11 of their papers we have counts for
16 papers
The locus of Riemann surfaces of genus with automorphisms
Angel Carocca, Sebastián Reyes-Carocca
Let be a prime number. In this article we provide a complete and explicit description of the locus formed by the compact Riemann surfaces of genus that are…
Counting polarizations on abelian varieties with group action
Robert Auffarth, Angel Carocca, Rubí E. Rodríguez
Let be the moduli space of principally polarized abelian varieties. We study the problem of counting the number of principal polarizations modulo the natural action…
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…
Riemann surfaces of genus with automorphisms
Angel Carocca, Sebastián Reyes-Carocca
In this article we classify compact Riemann surfaces of genus with a group of automorphisms of order where is a prime number. We also study decompositions of th…
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