Showing 2025Show all
2 papers · 1 filter
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…