17 citations · 127 across the 33 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.AC2017★ 3 cited
Normal hyperplane sections of normal schemes in mixed characteristic
Jun Horiuchi, Kazuma Shimomoto
The aim of this article is to prove that, under certain conditions, an affine flat normal scheme that is of finite type over a local Dedekind scheme in mixed characteristic admits…
math.NT2017★ 1 cited
Specialization Method in Krull Dimension two and Euler System Theory over Normal Deformation Rings
Tadashi Ochiai, Kazuma Shimomoto
The aim of this article is to establish the specialization method on characteristic ideals for finitely generated torsion modules over a complete local normal domain R that is modu…
math.AC2017★ 13 cited
Integral perfectoid big Cohen-Macaulay algebras via André's theorem
Kazuma Shimomoto
The main result of this article is to prove that any Noetherian local domain of mixed characteristic maps to an integral perfectoid big Cohen-Macaulay algebra. The proof of this re…