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Thesis

Galois groups and anabelian reconstruction

Abstract:

In this thesis we investigate the problem of recovering arithmetic structure on a field F from small quotients of its absolute Galois group. In particular, we are interested in recovering the p-adic valuation on a p-adic field from such quotients. After establishing several such results, we apply this to obtain strong versions of the Birational Section Conjecture for curves over p-adic fields. We also discuss the model-theoretic interpretation of these results, as...

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Institution:
University of Oxford
Oxford college:
Keble College
Role:
Author

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:2e444569-a23f-4cee-80a9-0321ae6ad021
Deposit date:
2016-05-30

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