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The decomposition of primes in torsion point fields
We investigate the decomposition of prime ideals in non-abelian extensions of number fields. These fields are generated by the coordinates of torsion points of elliptic curves without complex multiplications. We explain the necessary prerequisites from the theory of elliptic curves, modular forms, a...
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| Lenguaje: | eng |
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Springer
2001
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| Acceso en línea: | https://dx.doi.org/10.1007/b80624 http://cds.cern.ch/record/1691399 |
| _version_ | 1780935744673546240 |
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| author | Adelmann, Clemens |
| author_facet | Adelmann, Clemens |
| author_sort | Adelmann, Clemens |
| collection | CERN |
| description | We investigate the decomposition of prime ideals in non-abelian extensions of number fields. These fields are generated by the coordinates of torsion points of elliptic curves without complex multiplications. We explain the necessary prerequisites from the theory of elliptic curves, modular forms, algebraic number theory, and invariant theory. Due to the complexity of the problem, complete results are restricted to torsion points of low order. These results are complemented by computational data which also cover some unsolved cases. |
| id | cern-1691399 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2001 |
| publisher | Springer |
| record_format | invenio |
| spelling | cern-16913992021-04-21T21:10:15Zdoi:10.1007/b80624http://cds.cern.ch/record/1691399engAdelmann, ClemensThe decomposition of primes in torsion point fieldsMathematical Physics and MathematicsWe investigate the decomposition of prime ideals in non-abelian extensions of number fields. These fields are generated by the coordinates of torsion points of elliptic curves without complex multiplications. We explain the necessary prerequisites from the theory of elliptic curves, modular forms, algebraic number theory, and invariant theory. Due to the complexity of the problem, complete results are restricted to torsion points of low order. These results are complemented by computational data which also cover some unsolved cases.Springeroai:cds.cern.ch:16913992001 |
| spellingShingle | Mathematical Physics and Mathematics Adelmann, Clemens The decomposition of primes in torsion point fields |
| title | The decomposition of primes in torsion point fields |
| title_full | The decomposition of primes in torsion point fields |
| title_fullStr | The decomposition of primes in torsion point fields |
| title_full_unstemmed | The decomposition of primes in torsion point fields |
| title_short | The decomposition of primes in torsion point fields |
| title_sort | decomposition of primes in torsion point fields |
| topic | Mathematical Physics and Mathematics |
| url | https://dx.doi.org/10.1007/b80624 http://cds.cern.ch/record/1691399 |
| work_keys_str_mv | AT adelmannclemens thedecompositionofprimesintorsionpointfields AT adelmannclemens decompositionofprimesintorsionpointfields |