Thesis
Decidability in extensions of Fp((t))
- Abstract:
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In this thesis we primarily consider the first-order theory of the local field F_p((t)) and the question of whether it is decidable. To this end we expand the language of valued fields together with a constant symbol for t by adding predicates R_f representing the existence of a root of the multivariable polynomial f \in F_p(t)[X_1, ..., X_n], hoping in this way to control the behaviour of purely wild extensions of valued fields (which has historically caused problems in this area), and se...
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Authors
Contributors
+ Koenigsmann, J
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Funding
+ Engineering and Physical Sciences Research Council
More from this funder
Funding agency for:
Rigler, B
Grant:
MATH1314
Funder identifier:
http://dx.doi.org/10.13039/501100000266
Bibliographic Details
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
Item Description
- Language:
- English
- Keywords:
- Subjects:
- Deposit date:
- 2021-10-21
Related Items
Terms of use
- Copyright holder:
- Rigler, B
- Copyright date:
- 2021
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