Syu, Jhan-Cyuan (2022) Uniformization of Shimura Curves. Masters thesis, Concordia University, University of Duisburg-Essen.
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Abstract
A Shimura curve is a moduli scheme parametrize a certain family of abelian schemes.
After taking the formal completion, one can see that it is related to the formal scheme Omega hat
associated to the Drinfeld upper half plane. This is the well-known Cerednik-Drinfeld Theroem.
To prove this theorem, we need to develop a modular description of Omega hat via Deligne’s and
Drinfeld’s functor, and Cartier theory on formal modules is also used.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Thesis (Masters) |
| Authors: | Syu, Jhan-Cyuan |
| Institution: | Concordia University, University of Duisburg-Essen |
| Degree Name: | M.A. |
| Program: | Mathematics |
| Date: | 15 July 2022 |
| Thesis Supervisor(s): | Görtz, Ulrich |
| ID Code: | 990721 |
| Deposited By: | Jhan-Cyuan Syu |
| Deposited On: | 27 Oct 2022 14:49 |
| Last Modified: | 27 Oct 2022 14:49 |
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