PreprintarXiv licencearXiv
An introduction to algebraic groups
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.
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BibTeX
@misc{lombardo2026introduction,
title = {{An introduction to algebraic groups}},
author = {Davide Lombardo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.21926},
eprint = {2610.21926},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.21926},
}
RIS
TY - UNPB
TI - An introduction to algebraic groups
AU - Davide Lombardo
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.21926
UR - https://arxiv.org/abs/2610.21926
AB - 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.
ER -