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20162024
most citedFramed correspondences and the zeroth stable motivic homotopy group in odd characteristic

9 citations · 48 across the 18 of their papers we have counts for

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Showing 2018Show all

7 papers · 1 filter

math.AG2018★ 1 cited

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★ 1 cited

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★ 9 cited

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.AG2018★ 1 cited

The homomorphism of presheaves over a base

A. Druzhinin

We construct the homomorphism of presheaves over an arbitrary base scheme , where is the (naive) Milnor-Witt K-…

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The category of framed correspondences Fr_*(k), framed presheaves and framed sheaves were invented by Voevodsky in his unpublished notes [17].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★ 3 cited

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…

math.AG2018★ 4 cited

Framed motives of smooth affine pairs

A. E. Druzhinin

The theory of framed motives by Garkusha and Panin gives computations in the stable motivic homotopy category in terms of Voevodsky's framed correspondences. In pa…