9 citations · 11 across the 3 of their papers we have counts for
3 papers
math.AG2021
R-equivalence on group schemes
Philippe Gille, A Stavrova
We define R-equivalence for group schemes over a semilocal ring and relate this with rational properties. Two main cases are investigated: tori and isotropic semisimple simply conn…
math.AG2009★ 2 cited
Grothendieck-Serre conjecture for adjoint groups of types E_6 and E_7 and for certain classical groups
I. Panin, V. Petrov, A. Stavrova
Assume that R is a semi-local regular ring containing an infinite perfect field, or that R is a semi-local ring of several points on a smooth scheme over an infinite field. Let K b…
math.AG2008★ 9 cited
Tits indices over semilocal rings
V. Petrov, A. Stavrova
We give a simplified proof of Tits' classification of semisimple algebraic groups that remains valid over semilocal rings. In particular, we provide explicit necessary and sufficie…