2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.NT2021
Local-global principles for homogeneous spaces of reductive groups over global function fields
Cyril Demarche, David Harari
Let be a global field of positive characteristic. We prove that the Brauer-Manin obstructions to the Hasse principle, to weak approximation and to strong approximation are the…
math.NT2020★ 2 cited
Duality for complexes of tori over a global field of positive characteristic
Cyril Demarche, David Harari
If K is a number field, arithmetic duality theorems for tori and complexes of tori over K are crucial to understand local-global principles for linear algebraic groups over K. When…
math.NT2018
Artin-Mazur-Milne duality for fppf cohomology
Cyril Demarche, David Harari
We provide a complete proof of a duality theorem for the fppf cohomology of either a curve over a finite field or a ring of integers of a number field, which extends the classical…