9 citations · 24 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
Degree three cohomology of function fields of surfaces
R. Parimala, V. Suresh
Let F be a finite field and l a prime not equal to the characteristic of F. Let K be the function field of a surface over F. Assume that K contains a primitive lth root of unity. I…
The u-invariant of the function fields of p-adic curves
R. Parimala, V. Suresh
The u-invariant of a field is the maximum dimension of ansiotropic quadratic forms over the field. It is an open question whether the u-invariant of function fields of p-aidc curve…