3 papers
math.NT2020
Computing L-Polynomials of Picard curves from Cartier-Manin matrices
Sualeh Asif, Francesc Fité, Dylan Pentland
We study the sequence of zeta functions of a generic Picard curve defined over at primes of good reduction for . We define a degree 9 po…
math.NT2019
Arithmetic invariants from Sato--Tate moments
Edgar Costa, Francesc Fité, Andrew V. Sutherland
We give some arithmetic-geometric interpretations of the moments M_2[a_1], M_1[a_2], and M_1[s_2] of the Sato-Tate group of an abelian variety A defined over a number field by rela…
math.NT2018
On the Hilbert eigenvariety at exotic and CM classical weight 1 points
Adel Betina, Shaunak V. Deo, Francesc Fité
Let be a totally real number field and let be a classical cuspidal -regular Hilbert modular eigenform over of parallel weight . Let be the point on the -ad…