Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103694
Title: On component groups of J0(N) and degeneracy maps
Authors: Ling, S. 
Keywords: Component groups
Degeneracy maps
Jacobians
Modular curves
Issue Date: 1998
Citation: Ling, S. (1998). On component groups of J0(N) and degeneracy maps. Proceedings of the American Mathematical Society 126 (11) : 3201-3210. ScholarBank@NUS Repository.
Abstract: For an integer M > 1 and a prime p ≥ 5 not dividing M, we study the kernel of the degeneracy map MP,P R → MPr,p where MP,P and MPr,P are the component groups of Jo(Mp) and Jo(Mpr), respectively. This is then used to determine the kernel of the degeneracy map Jo(Mp)2 →Jo(Mp2) when Jo(M) = 0. We also compute the group structure of Mp2,p in some cases. © 1998 American Mathematical Society.
Source Title: Proceedings of the American Mathematical Society
URI: http://scholarbank.nus.edu.sg/handle/10635/103694
ISSN: 00029939
Appears in Collections:Staff Publications

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