Complexes of tori and rational points on homogeneous spaces over a function field
By David Harari
Appears in collection : Rational Points on Fano and Similar Varieties
We explain new arithmetic duality theorems for finite group schemes and 2-term complexes of tori defined over a global field of positive characteristic. We also apply these results to prove local global principles for homogeneous spaces of linear algebraic groups (joint work with Cyril Demarche).