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|Title:||Shimura Subgroups and Degeneracy Maps|
|Citation:||Ling, S. (1995-09). Shimura Subgroups and Degeneracy Maps. Journal of Number Theory 54 (1) : 39-59. ScholarBank@NUS Repository. https://doi.org/10.1006/jnth.1995.1100|
|Abstract:||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 the group Σ(M′)τ. We also study the restriction of degeneracy maps to Shimura subgroups. © 1995 Academic Press. All rights reserved.|
|Source Title:||Journal of Number Theory|
|Appears in Collections:||Staff Publications|
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