3 papers
math.NT2025
Connected monodromy fields of Jacobians with complex multiplication
Andrea Gallese, Davide Lombardo
We describe an algorithm to compute the minimal field of definition of the Tate classes on powers of a Jacobian with potential complex multiplication. This field arises as a na…
math.NT2025
Monodromy groups and exceptional Hodge classes, II: Sato-Tate groups
Andrea Gallese, Heidi Goodson, Davide Lombardo
Denote by the Jacobian variety of the hyperelliptic curve defined by the affine equation over , where is a fixed positive integer. In this…
math.NT2025
On 7-adic Galois representations for elliptic curves over
Lorenzo Furio, Davide Lombardo
In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of -adic Galois represen…