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Grothendieck-Serre conjecture for groups of type F_4 with trivial f_3 invariant
Victor Petrov, Anastasia Stavrova
Let R be a semi-local regular ring containing an infinite perfect field, and let K be the field of fractions of R. Let H be a simple algebraic group of type F_4 over R such that H_…
Grothendieck-Serre Conjecture I: Appendix
Ivan Panin, Anastasia Stavrova, Nikolai Vavilov
We prove here some supplementary statements that appeared without proof in I. Panin, A. Stavrova, N. Vavilov, On Grothendieck--Serre's conjecture concerning principal -bundles o…
On Grothendieck--Serre's conjecture concerning principal G-bundles over reductive group schemes:II
I. Panin
A proof of Grothendieck--Serre conjecture on principal bundles over a semi-local regular ring containing an infinite field is given in [FP] recently. That proof is based significan…
On Grothendieck--Serre's conjecture concerning principal G-bundles over reductive group schemes:I
I. Panin, A. Stavrova, N. Vavilov
Let k be an infinite field. Let R be the semi-local ring of a finite family of closed points on a k-smooth affine irreducible variety, let K be the fraction field of R, and let G b…