38 citations · 104 across the 18 of their papers we have counts for
4 papers · 1 filter
Local-global Galois theory of arithmetic function fields
David Harbater, Julia Hartmann, Daniel Krashen +2
We study the relationship between the local and global Galois theory of function fields over a complete discretely valued field. We give necessary and sufficient conditions for loc…
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…
Period-index and u-invariant questions for function fields over complete discretely valued fields
R. Parimala, V. Suresh
Let K be a complete discretely valued field and F the function field of a curve over K. If the characteristic of the residue field k of K is p > 0, then we give a bound for the Bra…
On the Pfister Number of Quadratic Forms
R. Parimala, V. Suresh, J. -P. Tignol
The generic quadratic form of even dimension n with trivial discriminant over an arbitrary field of characteristic different from 2 containing a square root of -1 can be written in…