107 citations · 115 across the 9 of their papers we have counts for
4 papers · 1 filter
Adelic double cosets over semi-global fields
David Harbater
Double coset spaces of adelic points on linear algebraic groups arise in the study of global fields; e.g., concerning local-global principles and torsors. A different type of doubl…
Pre-Galois theory
David Harbater, Pierre Dèbes
We introduce and study a class of field extensions that we call pre-Galois; viz. extensions that become Galois after some linearly disjoint Galois base change. Among them are geome…
A comparison between obstructions to local-global principles over semiglobal fields
David Harbater, Julia Hartmann, Valentijn Karemaker +1
We consider local-global principles for rational points on varieties, in particular torsors, over one-variable function fields over complete discretely valued fields. There are sev…
Local-global principles for Galois cohomology
David Harbater, Julia Hartmann, Daniel Krashen
This paper proves local-global principles for Galois cohomology groups over function fields of curves that are defined over a complete discretely valued field. We show in parti…