14 citations · 39 across the 4 of their papers we have counts for
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Sato-Tate groups of abelian threefolds: a preview of the classification
Francesc Fité, Kiran S. Kedlaya, Andrew V. Sutherland
We announce the classification of Sato-Tate groups of abelian threefolds over number fields; there are 410 possible conjugacy classes of closed subgroups of USp(6) that occur. We s…
Sato-Tate distributions of twists of the Fermat and the Klein quartics
Francesc Fité, Elisa Lorenzo García, Andrew V. Sutherland
We determine the limiting distribution of the normalized Euler factors of an abelian threefold A defined over a number field k when A is geometrically isogenous to the cube of a CM…
Del Pezzo surfaces over finite fields and their Frobenius traces
Barinder Banwait, Francesc Fité, Daniel Loughran
Let be a smooth cubic surface over a finite field . It is known that for some . Serre has asked wh…
On the singularity of the Demjanenko matrix of quotients of Fermat curves
Francesc Fite, Igor E. Shparlinski
Given a prime and a positive integer , one can define a matrix , the so-called Demjanenko matrix, whose rank is equal to the dimension of the…