7 citations · 7 across the 2 of their papers we have counts for
4 papers
Oriented Cohomology and Motivic Decompositions of Relative Cellular Spaces
A. Nenashev, K. Zainoulline
For an oriented cohomology theory A and a relative cellular space X, we decompose the A-motive of X into a direct sum of twisted motives of the base spaces. We also obtain respecti…
On the norm principle for quadratic forms
M. Ojanguren, I. Panin, K. Zainoulline
We prove a version of Knebusch's Norm Principle for finite étale extensions of semi-local Noetherian domains with infinite residue fields of characteristic different from 2. As an…
Variations on the Bloch-Ogus Theorem
I. Panin, K. Zainoulline
In the present paper we discuss questions concerning the arithmetic resolution for etale cohomology. Namely, consider a smooth quasi-projective variety X over a field k together wi…
On Grothendieck's Conjecture about Principal Homogeneous Spaces for some Classical Algebraic Groups
Kirill Zainoulline
In the present paper we investigate the question about the injectivity of the map F(R) --> F(K) induced by the canonical inclusion of a local regular ring of geometric type R to it…