# Almost ordinary abelian varieties over finite fields

## TL;DR

This paper characterizes almost ordinary abelian varieties over finite fields and uses this to establish lower bounds on the sizes of certain isogeny classes, advancing understanding in algebraic geometry and number theory.

## Contribution

It offers a new characterization of almost ordinary abelian varieties over finite fields and derives bounds for their isogeny class sizes.

## Key findings

- Provided a characterization of almost ordinary abelian varieties over finite fields.
- Established lower bounds for sizes of specific almost ordinary isogeny classes.

## Abstract

We provide a characterization of almost ordinary abelian varieties over finite fields, and use this characterization to provide lower bounds for the sizes of some almost ordinary isogeny classes.