107 citations · 115 across the 8 of their papers we have counts for
3 papers · 1 filter
Local-global principles for tori over arithmetic curves
Jean-Louis Colliot-Thélène, David Harbater, Julia Hartmann +3
In this paper we study local-global principles for tori over semi-global fields, which are one variable function fields over complete discretely valued fields. In particular, we sh…
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…