38 citations · 92 across the 18 of their papers we have counts for
20 papers
A local-global principle for twisted flag varieties
Philippe Gille, Raman Parimala
We prove a local-global principle for twisted flag varieties over a semiglobal field.
Embeddings of maximal tori in classical groups, odd degree descent and Hasse principles
Eva Bayer-Fluckiger, Tingyu Lee, Raman Parimala
The aim of this paper is to revisit the question of local-global principles for embeddings of étale algebras with involution into central simple algebras with involution over globa…
Local-global principles for constant reductive groups over semi-global fields
Jean-Louis Colliot-Thélène, David Harbater, Julia Hartmann +3
We study local-global principles for torsors under reductive linear algebraic groups over semi-global fields; i.e., over one variable function fields over complete discretely value…
Local-Global Principle for Unitary Groups Over Function Fields of p-adic Curves
R. Parimala, V. Suresh
Let K be a p-adic field and F the function field of a curve over K. Let G be a connected linear algebraic group over F of classical type. Suppose the prime p is a good prime for G.…
On unramified Brauer groups of torsors over tori
Eva Bayer-Fluckiger, Raman Parimala
In this paper we introduce a method to obtain algebraic information using arithmetic one in the study of tori and their principal homogeneous spaces. In particular, using some resu…
On the Grothendieck-Serre Conjecture for Classical Groups
Eva Bayer-Fluckiger, Uriya A. First, Raman Parimala
We prove some new cases of the Grothendieck-Serre conjecture for classical groups. This is based on a new construction of the Gersten-Witt complex for Witt groups of Azumaya algebr…