Thesis
O-minimality, nonclassical modular functions and diophantine problems
- Abstract:
-
There now exists an abundant collection of conjectures and results, of various complexities, regarding the diophantine properties of Shimura varieties. Two central such statements are the Andre-Oort and Zilber-Pink Conjectures, the first of which is known in many cases, while the second is known in very few cases indeed.
The motivating result for much of this document is the modular case of the Andre-Oort Conjecture, which is a theorem of Pila. It is most commonly viewed as a st...
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Authors
Contributors
+ Pila, J
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Funding
Engineering and Physical Sciences Research Council UK
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Bibliographic Details
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
-
uuid:38147ede-511d-4c5e-abba-657c2cbfb4f3
- Deposit date:
- 2018-07-31
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Terms of use
- Copyright holder:
- Spence, H; Haden Spence.
- Copyright date:
- 2018
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