Angel Carocca

Jacobians with complex multiplication

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 metacyclic groups

Prym-Tyurin varieties via Hecke algebras

G_{q,3}

Weyl groups and abelian varieties

of order

Generalized Humbert curves

3q

Jacobians with group actions and rational idempotents

with

Hypercentral embedding and pronormality

q \equiv 1 \mod 3

On factorized finite groups in which certain subgroups of the factors permute

an odd prime, and

Criteria for the solubility and non-simplicity of finite groups

G_m

SOLVABILITY OF FACTORIZED FINITE GROUPS

of order

Prym–Tyurin varieties using self-products of groups☆

2^{m+1}