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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| Format: | Journal Article |
| Sprog: | English |
| Udgivet: |
2012
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| Online adgang: | https://hdl.handle.net/10356/93638 http://hdl.handle.net/10220/7616 |
| 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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