activity
20172020
most citedStrictly homotopy invariance of Nisnevich sheaves with GW-transfers

9 citations · 11 across the 2 of their papers we have counts for

collaborators

8 papers

math.AG20202 cited

Stable connectivity over a base

A. Druzhinin

Morel's stable connectivity theorems state that for any connective -spectrum of motivic spaces (Nisnevich simplicial sheaves) over an arbitrary field, the spectrum $L_{\ma…

math.AG2018

Geometric models for fibrant resolutions of motivic suspension spectra

Andrei Druzhinin

We construct geometric models for the -spectrum , which computes in Garkusha-Panin's theory of framed motives \cite{GP14} a positively motivically…

math.AG2018

Rigidity for smooth affine pairs over a field

A. Druzhinin

Let be a closed immersion of smooth affine schemes over an arbitrary field , and denote the henselization of along . For each presheaf $E\colon \mathbf{S…

math.KT2018

Framed correspondences and the zeroth stable motivic homotopy group in odd characteristic

Andrei Druzhinin, Jonas Irgens Kylling

We extend the results of G.~Garkusha and I.~Panin on framed motives of algebraic varieties [4] to the case of a finite base field, and extend the computation of the zeroth cohomolo…

math.KT2018

Surjectivity of the etale excision map for homotopy invariant framed presheaves

Andrei Druzhinin, Ivan Panin

The category of framed correspondences Fr_*(k), framed presheaves and framed sheaves were invented by Voevodsky in his unpublished notes [17]. Based on the notes [17] a new approac…

math.AG2018

Cohomological correspondence categories

Andrei Druzhinin, Håkon Kolderup

We prove that homotopy invariance and cancellation properties are satisfied by any linear category of correspondences that is defined, via Calmès and Fasel's construction, by an un…