Year: 2026
Type: preprint
Abstract: We review the theory of abelian varieties and, more generally, algebraic groups, with a view toward arithmetic applications. We discuss their models over the rings of integers of number fields, their reductions modulo primes, their torsion points (together with their natural Galois action), and the interplay of these notions through characteristic polynomials of Frobenius.
Source: arXiv (Cornell University)
Author: Lombardo, Davide
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222433315