Abelian Calabi-Yau threefolds: N\'eron models and rational points

TL;DR

This paper investigates Calabi-Yau threefolds fibered by abelian surfaces, focusing on their arithmetic properties such as Néron models and the density of rational points, contributing to the understanding of their geometric and number-theoretic aspects.

Contribution

It introduces new insights into the arithmetic structure of abelian surface fibered Calabi-Yau threefolds, especially regarding Néron models and rational point distribution.

Findings

Analysis of Néron models for these threefolds

Results on Zariski density of rational points

New connections between geometry and arithmetic properties

Abstract

We study Calabi-Yau threefolds fibered by abelian surfaces, in particular, their arithmetic properties, e.g., N\'eron models and Zariski density.