Login | Register

Uniformization of Shimura Curves


Uniformization of Shimura Curves

Syu, Jhan-Cyuan (2022) Uniformization of Shimura Curves. Masters thesis, Concordia University, University of Duisburg-Essen.

[thumbnail of Syu_MSc_S2022.pdf]
Text (application/pdf)
Syu_MSc_S2022.pdf - Accepted Version


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.
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
All items in Spectrum are protected by copyright, with all rights reserved. The use of items is governed by Spectrum's terms of access.

Repository Staff Only: item control page

Downloads per month over past year

Research related to the current document (at the CORE website)
- Research related to the current document (at the CORE website)
Back to top Back to top