Zhenghui Li

activity

20242026

collaborators

3 papers

math.NT2026

Locally analytic vectors in the completed cohomology of quaternionic Shimura curves

Zhenghui Li, Benchao Su, Zhixiang Wu

We use the methods introduced by Lue Pan to study the locally analytic vectors of the completed cohomology of Shimura curves associated to an indefinite quaternion algebra $D$ whic…

math.AG2025

F-isocrystals of Higher Direct Images of $p$ -Divisible Groups

Zhenghui Li, Yanshuai Qin

For a $p$ -divisible group $G$ over a smooth projective variety $X$ over $k$ , where $k$ is a field finitely generated over a perfect field of characteristic $p$ , we show that the fo…

math.AG2024

On p-torsions of geometric Brauer groups

Zhenghui Li, Yanshuai Qin, with an appendix by Veronika Ertl

Let $X$ be a smooth projective integral variety over a finitely generated field $k$ of characteristic $p > 0$ . We show that the finiteness of the exponent of the $p$ -primary part of…

Locally analytic vectors in the completed cohomology of quaternionic Shimura curves

F-isocrystals of Higher Direct Images of p-Divisible Groups

On p-torsions of geometric Brauer groups

F-isocrystals of Higher Direct Images of $p$ -Divisible Groups