Shimura subgroups and degeneracy maps

• Main Author: Ling, San
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Subjects: DRNTU::Science::Mathematics::Number theory
• Online Access: https://hdl.handle.net/10356/96298; http://hdl.handle.net/10220/9860
• Institution: Nanyang Technological University

For M ≥ 1 an integer and M′ a positive divisor of M, let φ: J0(M′)τ → J0(M) be the map defined by all the degeneracy maps, where τ is the number of positive divisors of M/M′. We determine the kernel of φ for certain M and M′, as well as relate the pre-image of the Shimura subgroup Σ(M) under φ to th...