Hansheng Diao

activity

20132026

most citedLogarithmic adic spaces: some foundational results

12 citations · 29 across the 11 of their papers we have counts for

collaborators

11 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…

math.NT2024

Logarithmic A $_{inf}$ -cohomology

Hansheng Diao, Zijian Yao

We extend the construction of A $_{inf}$ -cohomology by Bhatt-Morrow-Scholze to the context of log $p$ -adic formal schemes over a log perfectoid base. In particular, using coordi…

math.NT2023

The Halo Conjecture for GL2

Hansheng Diao, Zijian Yao

We prove the Halo conjecture on the geometry of the eigencurve over the boundary of the weight space, predicted by Coleman-Mazur and Buzzard-Kilford.

math.AG2019★ 12 cited

Logarithmic adic spaces: some foundational results

Hansheng Diao, Kai-Wen Lan, Ruochuan Liu +1

We develop a theory of log adic spaces by combining the theories of adic spaces and log schemes, and study the Kummer étale and pro-Kummer étale topology for such spaces. We also e…

math.AG2018★ 3 cited

Logarithmic Riemann-Hilbert correspondences for rigid varieties

Hansheng Diao, Kai-Wen Lan, Ruochuan Liu +1

On any smooth algebraic variety over a $p$ -adic local field, we construct a tensor functor from the category of de Rham $p$ -adic étale local systems to the category of filtered alg…

math.NT2017★ 2 cited

Foundations of Logarithmic Adic Spaces

Hansheng Diao

The main objects of study are adic spaces with logarithmic structures. After establishing the basic definitions, we analyze the Kummer étale and pro-Kummer étale topologies on log…

math.NT2014★ 10 cited