Shimura subgroups of Jacobians of Shimura curves

• Main Author: Ling, San
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2012
• Subjects: DRNTU::Science::Mathematics
• Online Access: https://hdl.handle.net/10356/79658; http://hdl.handle.net/10220/7621
• Institution: Nanyang Technological University

Given an indefinite quaternion algebra of reduced discriminant D and an integer N relatively prime to D, one can construct Shimura curves Sh0(N, D) and Sh1(N, D), which are analogues of X0(N) and X1(N). The natural morphism Sh1(N, D) —>Sh0(N, D) induces a morphism J0(N, D) —>J1(N, D)between th...