Yichen Qin

works on

birational geometry 1 crepant birational equivalence 1 irregular hodge theory 1 landau-ginzburg models 1 twisted de rham cohomology 1

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math.AG2026

On the invariance of irregular Hodge numbers under crepant birational equivalences

Yichen Qin

The paper proves that the irregular Hodge numbers of the twisted de Rham cohomology of Landau–Ginzburg models remain unchanged under crepant birational equivalences, extending the…

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.AG2025

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.AG2025

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…

On the invariance of irregular Hodge numbers under crepant birational equivalences

Classical and irregular Hodge numbers

Irregular Hodge numbers of Frenkel--Gross connections

Rigid G-connections and nilpotency of p-curvatures

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