Hansheng Diao

collaborators

4 papers

math.NT2026

A $p$ -adic monodromy theorem for curves

Hansheng Diao, Yong Suk Moon, Zijian Yao

We prove that every de Rham $p$ -adic local system on a smooth projective curve over a $p$ -adic field is potentially semistable; that is, it becomes semistable after pulling back al…

math.NT2026

Relative $(φ, Γ)$ -modules and $p$ -adic differential equations

Hansheng Diao, Yong Suk Moon, Zijian Yao

Let $X$ be an affinoid rigid analytic space over a $p$ -adic field, equipped with a suitable étale map to a unit polydisk. We provide a formalism of \emph{imperfect relative period…

math.AG2026

Logarithmic $A_{inf}$ -cohomology, Part II

Hansheng Diao, Zhefan Duan, Zijian Yao

We develop a theory of logarithmic $A_{inf}$ -cohomology with coefficients for a class of $p$ -adic log formal schemes that are ``sufficiently log smooth'', where the coeffi…

math.AG2025

Monodromy and rigidity of crystalline local systems

Hansheng Diao, Zijian Yao

We study several rigidity properties of $p$ -adic local systems on a smooth rigid analytic space $X$ over a $p$ -adic field. We prove that the monodromy of the log isocrystal attache…

A p-adic monodromy theorem for curves

Relative (φ,Γ)-modules and p-adic differential equations

Logarithmic Ainf​-cohomology, Part II

Monodromy and rigidity of crystalline local systems

A $p$ -adic monodromy theorem for curves

Relative $(φ, Γ)$ -modules and $p$ -adic differential equations

Logarithmic $A_{inf}$ -cohomology, Part II