38 citations · 104 across the 18 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…
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.…
Local-global principle for reduced norms over function fields of p-adic curves
R. Parimala, R. Preeti, V. Suresh
Let F be a function field in one variable over a p-adic field and D a central division algebra over F of degree n coprime to p. We prove that Suslin invariant detects whether an el…
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…