Lian, Yi Jie Kelvin (2020) Finite Abelian descent obstruction. [Magistrali biennali]
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Given a smooth projective geometrically connected variety X over a number field k, we say that X fails the Hasse principle if it has adelic points but no k-rational points. In this thesis, we account for this failure by studying obstructions via finite descent, and compare them with the well-known Brauer-Manin obstruction.
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