12 citations · 29 across the 11 of their papers we have counts for
7 papers · 1 filter
A -adic monodromy theorem for curves
Hansheng Diao, Yong Suk Moon, Zijian Yao
We prove that every de Rham -adic local system on a smooth projective curve over a -adic field is potentially semistable; that is, it becomes semistable after pulling back al…
Relative -modules and -adic differential equations
Hansheng Diao, Yong Suk Moon, Zijian Yao
Let be an affinoid rigid analytic space over a -adic field, equipped with a suitable étale map to a unit polydisk. We provide a formalism of \emph{imperfect relative period…
Logarithmic A-cohomology
Hansheng Diao, Zijian Yao
We extend the construction of A-cohomology by Bhatt-Morrow-Scholze to the context of log -adic formal schemes over a log perfectoid base. In particular, using coordi…
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.
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…
The Eigencurve is Proper
Hansheng Diao, Ruochuan Liu
We prove that the Coleman-Mazur eigencurve is proper over the weight space for any prime p and tame level N.
On properness of the eigencurve
Hansheng Diao, Ruochuan Liu
We prove that the Coleman-Mazur eigencurve is proper (over the weight space) at a large class of points.