18 citations · 33 across the 13 of their papers we have counts for
15 papers
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…
Cohomology of varieties over the maximal Kummer extension of a number field
Davide Lombardo, Tamás Szamuely
Let be a smooth projective geometrically connected variety defined over a number field . We prove that the geometric étale cohomology of with -coe…
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…
A generalization of Beilinson's geometric height pairing
Damian Rössler, Tamás Szamuely
In the first section of his seminal paper on height pairings, Beilinson constructed an -adic height pairing for rational Chow groups of homologically trivial cycles of comple…
A general theory of André's solution algebras
Levente Nagy, Tamás Szamuely
We extend Yves André's theory of solution algebras in differential Galois theory to a general Tannakian context. As applications, we establish analogues of his correspondence betwe…
Étale homotopy groups of algebraic groups and homogeneous spaces
Cyril Demarche, Tamás Szamuely
We show the vanishing of the second homotopy group of the étale homotopy type of a smooth connected algebraic group over a separably closed field, completed away from the character…