2 papers
math.NT2026
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…
math.AG2026
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…