A. Druzhinin

activity

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

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AG2021

Stable motivic trivial fibre decomposition over integers and framed motives

Andrei Druzhinin

Using the trivial fiber topology we describe motivic $\infty$ -loop spaces and fibrant replacements in the motivic stable homotopy category $\mathbf{SH}_{\mathbb{A}^1,\mathrm{Nis}}(…

math.AG2021

Zariski-local framed $A^{1}$ -homotopy theory

Andrei Druzhinin, Vladimir Sosnilo

For any (not necessarily perfect) field $k$ we obtain equivalences of $\infty$ -categories \[\mathbf{H}^{\mathrm{fr},\mathrm{gp}}(k)\simeq \mathbf{H}^{\mathrm{fr},\mathrm{gp}}_{\mat…

math.AG2021★ 2 cited

Strict homotopy invariance via compactified homotopies and correspondences, and fibres of essentially smooth schemes over one-dimensional base schemes

Andrei Druzhinin

We develop the technique of compactified correspondences and homotopies over one-dimensional base schemes, and illuminate the perfectness and the inverting of characteristic assump…

Stable motivic trivial fibre decomposition over integers and framed motives

Zariski-local framed A1-homotopy theory

Strict homotopy invariance via compactified homotopies and correspondences, and fibres of essentially smooth schemes over one-dimensional base schemes

Zariski-local framed $A^{1}$ -homotopy theory