On component groups of Jo(N) and degeneracy maps

On component groups of Jo(N) and degeneracy maps

For an integer M >1 and a prime p ≥ 5 not dividing M, we study the kernel of the degeneracy map ΦʳMp,p --˃ ΦMpʳ,p, where ΦMp,p and ΦMpʳ,p are the component groups of J0(Mp) and J0(Mpʳ), respectively. This is then used to determine the kernel of the degeneracy map J0(Mp)2 --˃ J0(Mp2) whe...

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Bibliographic Details
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/10356/93638
http://hdl.handle.net/10220/7616
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Institution: Nanyang Technological University
Language: English
Description
Summary:For an integer M >1 and a prime p ≥ 5 not dividing M, we study the kernel of the degeneracy map ΦʳMp,p --˃ ΦMpʳ,p, where ΦMp,p and ΦMpʳ,p are the component groups of J0(Mp) and J0(Mpʳ), respectively. This is then used to determine the kernel of the degeneracy map J0(Mp)2 --˃ J0(Mp2) when J0(M) = 0. We also compute the group structure of ΦMp2,p in some cases.

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