The Decomposition of Primes in Torsion Point Fields

• Κύριος συγγραφέας: Adelmann, Clemens (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
• Έκδοση: 1st ed. 2001.
• Σειρά: Lecture Notes in Mathematics, 1761
• Θέματα: Number theory.; Algebraic geometry.; Number Theory.; Algebraic Geometry.

It is an historical goal of algebraic number theory to relate all algebraic extensionsofanumber?eldinauniquewaytostructuresthatareexclusively described in terms of the base ?eld. Suitable structures are the prime ideals of the ring of integers of the considered number ?eld. By examining the behaviou...

Πίνακας περιεχομένων:

• 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.