Xu Shen

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20242026

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math.NT2026

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…

math.NT2025

Bruhat-Tits buildings and $p$ -adic period domains

Xu Shen, Ruishen Zhao

Let $G$ be a connected reductive group over a $p$ -adic local field $F$ . Rémy-Thuillier-Werner constructed embeddings of the (reduced) Bruhat-Tits building $B (G, F)$ into t…

Rigid analytic 1-motives and conjugate uniformization of abeloid varieties

Bruhat-Tits buildings and p-adic period domains

Bruhat-Tits buildings and $p$ -adic period domains