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.
Finite Abelian descent obstruction
Lian, Yi Jie Kelvin
2020/2021
Abstract
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.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.12608/21433