Yichen Qin

activity

20242026

collaborators

4 papers

math.AG2026

Classical and irregular Hodge numbers

Yichen Qin, Dingxin Zhang

Let $U$ be a smooth quasi-projective complex variety with a regular function $f$ . The twisted de Rham cohomology groups $H_{dR}^{k} (U, f)$ carry the decreasing irre…

math.NT2025

On Siegel's problem and Dwork's conjecture for $G$ -functions

Javier Fresán, Yeuk Hay Joshua Lam, Yichen Qin

We answer in the negative Siegel's problem for $G$ -functions, as formulated by Fischler and Rivoal. Roughly, we prove that there are $G$ -functions that cannot be written as polynom…

math.AG2024

Irregular Hodge numbers of Frenkel--Gross connections

Yichen Qin, Christian Sevenheck, Peter Spacek

Frenkel and Gross constructed a family of connections on $P^{1} \ {0, \infty}$ , for almost simple groups $G ˇ$ and their representations. In this article, we c…

math.AG2024

Rigid $G$ -connections and nilpotency of $p$ -curvatures

Pengfei Huang, Yichen Qin, Hao Sun

Motivated by Simpson's conjecture on the motivicity of rigid irreducible connections, Esnault and Groechenig demonstrated that the mod- $p$ reductions of such connections on smooth…

Classical and irregular Hodge numbers

On Siegel's problem and Dwork's conjecture for G-functions

Irregular Hodge numbers of Frenkel--Gross connections

Rigid G-connections and nilpotency of p-curvatures

On Siegel's problem and Dwork's conjecture for $G$ -functions

Rigid $G$ -connections and nilpotency of $p$ -curvatures