23 citations · 72 across the 21 of their papers we have counts for
5 papers · 1 filter
Proof of Grothendieck--Serre conjecture on principal bundles over regular local rings containing a finite field
Ivan Panin
Let R be a regular local ring, containing a finite field. Let G be a reductive group scheme over R. We prove that a principal G-bundle over R is trivial, if it is trivial over the…
Two purity theorems and the Grothendieck--Serre's conjecture concerning principal G-bundles
Ivan Panin
In a series of papers [Pan0], [Pan1], [Pan2], [Pan3] we give a detailed and better structured proof of the Grothendieck--Serre's conjecture for semi-local regular rings containing…
Nice triples and a moving lemma for motivic spaces
Ivan Panin
It is proved that for any cohomology theory A in the sense of [PS] and any essentially k-smooth semi-local X the Cousin complex is exact. As a consequence we prove that for any int…
A theory of nice triples and a theorem due to O.Gabber
Ivan Panin
In a series of papers [Pan0], [Pan1], [Pan2], [Pan3] we give a detailed and better structured proof of the Grothendieck--Serre's conjecture for semi-local regular rings containing…
Efficient design of experiments for sensitivity analysis based on polynomial chaos expansions
E. Burnaev, I. Panin, B. Sudret
Global sensitivity analysis aims at quantifying respective effects of input random variables (or combinations thereof) onto variance of a physical or mathematical model response. A…