9 citations · 24 across the 9 of their papers we have counts for
10 papers
Rost injectivity for classical groups over function fields of curves over local fields
R. Parimala, V. Suresh
Let F be a complete discretely valued field with residue field a global field or a local field with no real orderings. Let G be an absolutely simple simply connected group of outer…
Local-global principle for over semiglobal fields
Philippe Gille, Raman Parimala
We compare different local-global principles for torsors under a reductive group G defined over a semiglobal field F. In particular if the F-group G s a retract rational F-variety,…
Period-index in top cohomology over semiglobal fields
Sarah Dijols, Raman Parimala, Ramdorai Sujatha +1
We prove a common slot lemma for symbols in top cohomology classes over semiglobal fields. Furthermore, we prove that period and index agree for general top cohomology classes over…
Local-global principles for tori over arithmetic curves
Jean-Louis Colliot-Thélène, David Harbater, Julia Hartmann +3
In this paper we study local-global principles for tori over semi-global fields, which are one variable function fields over complete discretely valued fields. In particular, we sh…
On the u-Invariant of Function Fields of Curves Over Complete Discretely Valued Fields
R. Parimala, V. Suresh
Let K be a complete discretely valued field with residue field k. If char(K) = 0, char(k) = 2 and the 2-rank of k is d, we prove that there exists an integer N depending on d such…
Hasse principle for G-trace forms
E. Bayer-Fluckiger, R. Parimala, J-P. Serre
Let k be a global field of characteristic not 2. We prove a local-global principle for the existence of self-dual normal bases, and more generally for the isomorphism of G-trace fo…