Shimura subgroups and degeneracy maps
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...
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| Format: | Journal Article |
| Language: | English |
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2013
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| Online Access: | https://hdl.handle.net/10356/96298 http://hdl.handle.net/10220/9860 |
| _version_ | 1824455378643976192 |
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| author | Ling, San |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Ling, San |
| author_sort | Ling, San |
| collection | NTU |
| description | 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. |
| first_indexed | 2025-02-19T03:37:16Z |
| format | Journal Article |
| id | ntu-10356/96298 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:37:16Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/962982023-02-28T19:39:21Z Shimura subgroups and degeneracy maps Ling, San School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Number theory 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. Accepted version 2013-04-23T09:00:25Z 2019-12-06T19:28:24Z 2013-04-23T09:00:25Z 2019-12-06T19:28:24Z 1995 1995 Journal Article Ling, S. (1995). Shimura Subgroups and Degeneracy Maps. Journal of Number Theory, 54(1), 39-59. 0022-314X https://hdl.handle.net/10356/96298 http://hdl.handle.net/10220/9860 10.1006/jnth.1995.1100 en Journal of number theory © 1995 Academic Press. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Number Theory, Academic Press. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1006/jnth.1995.1100]. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Number theory Ling, San Shimura subgroups and degeneracy maps |
| title | Shimura subgroups and degeneracy maps |
| title_full | Shimura subgroups and degeneracy maps |
| title_fullStr | Shimura subgroups and degeneracy maps |
| title_full_unstemmed | Shimura subgroups and degeneracy maps |
| title_short | Shimura subgroups and degeneracy maps |
| title_sort | shimura subgroups and degeneracy maps |
| topic | DRNTU::Science::Mathematics::Number theory |
| url | https://hdl.handle.net/10356/96298 http://hdl.handle.net/10220/9860 |
| work_keys_str_mv | AT lingsan shimurasubgroupsanddegeneracymaps |