Xu Shen

activity

20242026

collaborators

3 papers

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…

math.AG2024

De Rham $F$ -gauges and Shimura varieties

Xu Shen

We study $F$ -gauges for de Rham cohomology of smooth algebraic varieties in characteristic $p$ . Applying to good reductions of Shimura varieties of Hodge type, we recover the Ekeda…

Rigid analytic 1-motives and conjugate uniformization of abeloid varieties

Bruhat-Tits buildings and p-adic period domains

De Rham F-gauges and Shimura varieties

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

De Rham $F$ -gauges and Shimura varieties