Severi-Brauer Bundle Violating the Hasse Principle

Published 19 Oct 2024 in math.NT and math.AG | (2410.15125v2)

Abstract: We study Severi-Brauer bundles and their Brauer groups. We answer a question posed by Bjorn Poonen in a more general setting by constructing Severi-Brauer bundles that fails the Hasse principle for rational points, without requiring explicit calculations.

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