7 papers
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…
Cohomology of varieties over the maximal Kummer extension of a number field
Davide Lombardo, Tamás Szamuely, Tamás Szamuely
Let be a smooth projective geometrically connected variety defined over a number field . We prove that the geometric étale cohomology of with -coe…
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…