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Elliptic Curves and Arithmetic Invariants

Springer Monographs in Mathematics

Erschienen am 09.06.2013, 1. Auflage 2013
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Bibliografische Daten
ISBN/EAN: 9781461466567
Sprache: Englisch
Umfang: xviii, 450 S.
Format (T/L/B): 3 x 24.2 x 16.3 cm
Einband: gebundenes Buch

Beschreibung

Inhaltsangabe1 Non-triviality of Arithmetic Invariants.- 2 Elliptic Curves and Modular Forms.- 3 Invariants, Shimura Variety and Hecke Algebra.- 4 Review of Scheme Theory.- 5 Geometry of Variety.- 6 Elliptic and Modular Curves over Rings.- 7 Modular Curves as Shimura Variety.- 8 Non-vanishing Modulo p of Hecke L-values.- 9 p-Adic Hecke L-functions and their µ-invariants.- 10 Toric Subschemes in a Split Formal Torus.- 11 Hecke Stable Subvariety is a Shimura Subvariety.- References.- Symbol Index.- Statement Index.- Subject Index.