6 papers · 1 filter
Equationless quadratic Chabauty for non-split Cartan modular curves
Sachi Hashimoto, Guido Maria Lido, Davide Lombardo +2
The aim of this article is to describe an equationless method for determining the rational points on the non-split Cartan curve of prime level .…
Monodromy groups and exceptional Hodge classes, I: Fermat Jacobians
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. We compu…
Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images
Matthew Bisatt, Lorenzo Furio, Davide Lombardo
Let be an elliptic curve whose mod Galois image is contained in the normaliser of a non-split Cartan. We classify the possible -adic images of using too…
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…
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…
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…