18 citations · 35 across the 12 of their papers we have counts for
13 papers
Real approximation for homogeneous spaces with finite stabilizers
David Harari, Nguyên M\d{a}nh Linh, Giancarlo Lucchini Arteche
We prove some new cases of real appoximation for homogeneous spaces with finite stabilizers and describe the state of the art around this question, giving proofs that are well-know…
On the defect in the generalized Grunwald--Wang problem
David Harari, Tamás Szamuely
The classical Grunwald--Wang theorem asserts that, unless we are in the so-called special case, local cyclic Galois extensions at finitely many completions of a number field can be…
On Tate--Shafarevich groups of one-dimensional families of commutative group schemes over number fields
David Harari, Tamás Szamuely
Given a smooth geometrically connected curve over a field and a smooth commutative group scheme of finite type over the function field of we study the Tate--Sha…
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…
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…
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…