3 papers
math.NT2026
Insufficiency of the algebraic Brauer--Manin obstruction for homogeneous spaces
Nguyen Manh Linh
Over any number field containing a root of unity of odd prime order, we construct a homogeneous space of with finite -nilpotent geometric stabilizers, with a con…
math.NT2026
Mayer--Vietoris sequences for complexes of tori
Nguyen Manh Linh
In the patching setting, given a factorization inverse system of fields over which patching for finite-dimensional vector spaces holds, together with a crossed module over the inve…
math.AG2025
On the descent conjecture for rational points and zero-cycles
Nguyen Manh Linh
The descent method is one of the approaches to study the Brauer--Manin obstruction to the local--global principle and to weak approximation on varieties over number fields, by redu…