Abelian varieties with real multiplication: classification and isogeny classes over finite fields
Number Theory
2025-04-02 v3 Algebraic Geometry
Abstract
In this paper, we provide a classification of certain points on Hilbert modular varieties over finite fields under a mild assumption on Newton polygon. Furthermore, we use this characterization to prove estimates for the size of isogeny classes.
Keywords
Cite
@article{arxiv.2308.11105,
title = {Abelian varieties with real multiplication: classification and isogeny classes over finite fields},
author = {Tejasi Bhatnagar and Yu Fu},
journal= {arXiv preprint arXiv:2308.11105},
year = {2025}
}
Comments
Fixed typos and accommodated referee comments. Minor changes in the proof of Proposition 3.2 and Lemma 3.6