Rigid analytic 1-motives and conjugate uniformization of abeloid varieties

Khai-Hoan Nguyen-Dang, Xu Shen, Heer Zhao

Let $K$ be a $p$-adic field. We study the arithmetic theory of abeloid varieties over $K$. Our aims are twofold. First, we study the theory of rigid analytic 1-motives, which will…