9 citations · 30 across the 21 of their papers we have counts for
Showing 2007Show all
3 papers · 1 filter
math.KT2007
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…
math.KT2007★ 3 cited
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…
math.KT2007
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…