38 citations · 104 across the 18 of their papers we have counts for
19 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 groups of type An over semi global fields
V. Suresh
Let F be the function field of a curve over a complete discretely valued field K. Let G be a semisimple simply connected linear algebraic group over F of type An. We give a descrip…
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.…
Local triviality for G-torsors
Philippe Gille, Raman Parimala, V. Suresh
Let C Spec(R) be a relative proper flat curve over an henselian base. Let G be a reductive C-group scheme. Under mild technical assumptions, we show that a G-torsor o…
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…