9 citations · 30 across the 21 of their papers we have counts for
21 papers
Cycle maps on cohomology theories for dg-categories and their applications
Satoshi Mochizuki
In this article, we propose noncommutative versions of Tate conjecture and Hodge conjecture. If we consider these conjectures for a dg-category of perfect complexes over a certain…
A dévissage theorem of non-connective -theory
Satoshi Mochizuki
The purpose of this article is to show a version of dévissage theorem of non-connective -theory. Our theorem contains Quillen's dévissage theorem, Waldhausen's cell filtration t…
Delooping of the -theory of strictly derivable Waldhausen categories
Satoshi Mochizuki
In this short note, for a morphism of Waldhausen categories , we will define $\ope…
Nilpotent invariant motives I
Satoshi Mochizuki
The purpose of this article is to clarify the question what makes motives -homotopy invariance. we give construction of the stable model category of nilpotent invaria…
A survey of Gersten's conjecture
Satoshi Mochizuki
This article is the extended notes of my survey talk of Gersten's conjecture given at the workshop "Bousfield classes form a set: a workshop in a memory of Tetsusuke Ohkawa" at Nag…
Local Gersten's conjecture for regular system of parameters
Satoshi Mochizuki
In this paper, we show local Gersten's conjecture for regular system of parameters. As its consequence we obtain Gersten's conjecture for a commutative regular local ring and smoot…