13 citations · 29 across the 11 of their papers we have counts for
11 papers
Abelian varieties with finite abelian group action
Angel Carocca, Herbert Lange, Rubí E. Rodríguez
An automorphism of an abelian variety induces a decomposition of the variety up to isogeny. There are two such results, namely the isotypical decomposition and Roan's decomposition…
On Jacobians with group action and coverings
Sebastián Reyes-Carocca, Rubí E. Rodríguez
Let be a compact Riemann surface and let be a finite group. It is known that if acts on then there is a -equivariant isogeny decomposition of the Jacobian variet…
A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree
Ruben A. Hidalgo, Rubi E. Rodriguez
Recently, Barraza-Rojas have described the action of the full automorphisms group on the Fermat curve of degree , for a prime integer, and obtained the group algebra decompo…
Jacobians with complex multiplication
Angel Carocca, Herbert Lange, Rubi E. Rodriguez
We construct and study two series of curves whose Jacobians admit complex multiplication. The curves arise as quotients of Galois coverings of the projective line with Galois group…
Products of Jacobians as Prym-Tyurin varieties
A. Carocca, H. Lange, R. E. Rodriguez +1
Let denote smooth projective curves of genus over an algebraically closed field of characteristic 0 and let denote any integer at least equal to $1…
Prym-Tyurin varieties using self-products of groups
A. Carocca, H. Lange, R. E. Rodriguez +1
Given Prym-Tyurin varieties of exponent with respect to a finite group , a subgroup and a set of rational irreducible representations of satisfying some additional p…