Year: 2026
Type: preprint
Abstract: For a quasi-projective variety $X$ defined over a number field $k$, let $X'$ be its Weil restriction with respect to a finite field extension $k/k'$. We prove that the Brauer--Manin set of $X$ agrees with the Brauer--Manin set of $X'$. We also prove the agreement for Brauer--Manin set of them given by $\mathrm{Br}_1$.
Source: arXiv (Cornell University)
Author: Zhang, Hui
Institution: Shandong University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Shandong University
OpenAlex ID: W7223938384