Elliptic Curves and Arithmetic Invariants

• Κύριος συγγραφέας: Hida, Haruzo (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Algebraic geometry.; Number theory.; Number Theory.; Algebraic Geometry.

This book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including μ-invariant, L-invariant, and similar topics.   This book can be regarded as an introductory text to the author's previous book p-Adic Automorphic Forms...

Πίνακας περιεχομένων:

• 1 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.