4 citations · 4 across the 1 of their papers we have counts for
4 papers
The trivial fiber topology and framed motives over the integers
A. Druzhinin, HÃ¥kon Kolderup, Paul Arne Ãstvær
This paper introduces the trivial fiber topology on schemes. For one-dimensional base schemes, we use it to describe fibrant replacements in the stable motivic homotopy category an…
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…
Zariski-local framed -homotopy theory
Andrei Druzhinin, Vladimir Sosnilo
For any (not necessarily perfect) field we obtain equivalences of -categories \[\mathbf{H}^{\mathrm{fr},\mathrm{gp}}(k)\simeq \mathbf{H}^{\mathrm{fr},\mathrm{gp}}_{\mat…
Nisnevich equivalences of local essentially smooth open pairs
A. E. Druzhinin, A. A. Urzabaev
In this note, we prove a Nisnevich local equivalence \begin{equation*} X/(X-Z)\simeq X^\prime/(X^\prime-Z^\prime) \end{equation*} for essentially smooth local schemes and $X^\p…