10 citations · 21 across the 7 of their papers we have counts for
5 papers · 1 filter
A log prismatic-crystalline comparison theorem
Heng Du, Yong Suk Moon, Koji Shimizu
We show a comparison theorem between log prismatic cohomology and log crystalline cohomology for a -adic formal scheme with semistable reduction. Combined with the prismatic-éta…
On log crystalline higher direct image
Heng Du, Yong Suk Moon, Koji Shimizu
We define the big crystalline site for a log scheme and prove the basic properties. In particular, we show the boundedness, base change, and perfectness theorems for the crystallin…
Completed prismatic -crystals and crystalline -local systems
Heng Du, Tong Liu, Yong Suk Moon +1
We introduce the notion of completed -crystals on the absolute prismatic site of a smooth -adic formal scheme. We define a functor from the category of completed prismatic $F…
Constancy of generalized Hodge-Tate weights of a local system
Koji Shimizu
Sen attached to each p-adic Galois representation of a p-adic field a multiset of numbers called generalized Hodge-Tate weights. In this paper, we discuss a rigidity of these numbe…
Existence of compatible systems of lisse sheaves on arithmetic schemes
Koji Shimizu
Deligne conjectured that a single l-adic lisse sheaf on a normal variety over a finite field can be embedded into a compatible system of l'-adic lisse sheaves with various l'. Drin…