Galois groups of low dimensional abelian varieties over finite fields

S Arango-Piñeros, S Frengley… - arXiv preprint arXiv …, 2024 - arxiv.org
We consider three isogeny invariants of abelian varieties over finite fields: the Galois group,
Newton polygon, and the angle rank. Motivated by work of Dupuy, Kedlaya, and Zureick …

Note on the Distribution of the Traces of Frobenius

NA Carella - arXiv preprint arXiv:2307.03765, 2023 - arxiv.org
Let $ E $ be a nonsingular elliptic curve over the rational numbers, and let $\tau^ n= p^ n+ 1-
\# E (\mathbb {F} _ {p^ n}) $. A result in the current literature claims that the normalized …