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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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2001]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1761. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Introduction
- Decomposition laws
- Elliptic curves
- Elliptic modular curves
- Torsion point fields
- Invariants and resolvent polynomials
- Appendix: Invariants of elliptic modular curves; L-series coefficients a p; Fully decomposed prime numbers; Resolvent polynomials; Free resolution of the invariant algebra.