3 citations · 3 across the 4 of their papers we have counts for
4 papers
Deforming motivic theories I: Pure weight perfect Modules on divisorial schemes
Toshiro Hiranouchi, Satoshi Mochizuki
In this paper, we introduce a notion of weight r pseudo-coherent Modules associated to a regular closed immersion i:Y -> X of codimension r, and prove that there is a canonical der…
Gersten's conjecture
Satoshi Mochizuki
The purpose of this article is to prove that Gersten's conjecture for a commutative regular local ring is true. As its applications, we will prove the vanishing conjecture for cert…
Higher algebraic -theory of finitely generated torsion modules over principal ideal domains
Satoshi Mochizuki
The main purpose of this paper is computing higher algebraic -theory of Koszul complexes over principal ideal domains. The second purpose of this paper is giving examples of com…
Gersten's conjecture for commutative discrete valuation rings
Satoshi Mochizuki
The purpose of this article is to prove that Gersten's conjecture for a commutative discrete valuation ring is true. Combining with the result of \cite{GL87}, we learn that Gersten…