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Rational points on varieties and the Brauer-Manin obstruction

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arxiv 2303.17796 v1 pith:IS3VE3UG submitted 2023-03-31 math.NT math.AG

Bianca Viray This is my paper · ORCID
classification math.NTmath.AG
keywords brauer-maninobstructionpointsrationalcomputationexistencefocusinggive
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These lecture notes give an introduction to the Brauer-Manin obstruction to the existence of rational points, focusing on the interplay between theory and computation.

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  1. Varieties with prescribed finite unramified Brauer groups and subgroups precisely obstructing the Hasse principle

    math.NT 2025-04 conditional novelty 8.0 of 10

    For any finite abelian groups B0 ⊂ B, there exists a smooth rationally connected variety over a number field whose unramified Brauer group is B and whose Hasse principle obstruction is precisely B0.

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