activity
20102019
most citedAlgebraic K-theory and descent for blow-ups

40 citations · 54 across the 6 of their papers we have counts for

collaborators

7 papers

math.AG2019

A Bloch-Ogus Theorem for henselian local rings in mixed characteristic

Johannes Schmidt, Florian Strunk

We show a conditional exactness statement for the Nisnevich Gersten complex associated to an -invariant cohomology theory with Nisnevich descent for smooth schemes ov…

math.KT2018★ 5 cited

Towards Vorst's conjecture in positive characteristic

Moritz Kerz, Florian Strunk, Georg Tamme

Vorst's conjecture relates the regularity of a ring with the -homotopy invariance of its -theory. We show a variant of this conjecture in positive characteristic.

math.AT2017

Model topoi and motivic homotopy theory

Georgios Raptis, Florian Strunk

Given a small simplicial category $\C$ whose underlying ordinary category is equipped with a Grothendieck topology , we construct a model structure on the category of simplicial…

math.KT2016★ 40 cited

Algebraic K-theory and descent for blow-ups

Moritz Kerz, Florian Strunk, Georg Tamme

We prove that algebraic K-theory satisfies `pro-descent' for abstract blow-up squares of noetherian schemes. As an application we derive Weibel's conjecture on the vanishing of neg…

math.AG2016★ 9 cited

Stable -connectivity over Dedekind schemes

Johannes Schmidt, Florian Strunk

We show that -localization decreases the Nisnevich-stalkwise connectivity by at most one over a Dedekind scheme with infinite residue fields. For the proof, we establ…

math.AG2016

On the vanishing of negative homotopy K-theory

Moritz Kerz, Florian Strunk

We show that the homotopy invariant algebraic K-theory of Weibel vanishes below the negative of the Krull dimension of a noetherian scheme. This gives evidence for a conjecture of…

math.AG2010

Enriched Simplicial Presheaves and the Motivic Homotopy Category

Philip Herrmann, Florian Strunk

We construct models for the motivic homotopy category based on simplicial functors from smooth schemes over a field to simplicial sets. These spaces are homotopy invariant and ther…