Pullback method with applications to Severi–Brauer fibrations
Abstract
Given a variety with a suitable Brauer class, we present a general pullback construction that produces varieties that has Brauer–Manin obstruction to the existence of rational points. We then study Severi–Brauer fibrations and their Brauer groups without relying on explicit defining equations. As a key application, we show that there exist Severi–Brauer fibrations with index one that fails Hasse principle.
Fields of Study & Subjects
Finite Group Theory Research
Algebraic structures and combinatorial models
Analytic and geometric function theory
Publication details
- Journal / source
- International Journal of Number Theory
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 22
- Issue
- 07
- Pages
- 1425–1439
- Publication date
- 20 February 2026
- Language
- EN