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Elliptic Curves and Arithmetic Invariants

Haruzo Hida
This book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including ¿-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 on Shimura Varieties.  Written as a down-to-earth introduction to Shimura varieties, this text includes many examples and applications of the theory that provide motivation for the reader.  Since it is limited to modular curves and the corresponding Shimura varieties, this book is not only a great resource for experts in the field, but it is also accessible to advanced graduate students studying number theory.  Key topics include non-triviality of arithmetic invariants and special values of L-functions; elliptic curves over complex and p-adic fields; Hecke algebras; scheme theory; elliptic and modular curves over rings; and Shimura curves.
Autor: Hida, Haruzo
EAN: 9781489990921
Auflage: 2013
Sprache: Englisch
Seitenzahl: 468
Produktart: kartoniert, broschiert
Verlag: Springer New York Springer US
Veröffentlichungsdatum: 08.02.2015
Größe: 26 × 155 × 235
Gewicht: 703 g

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Elliptic Curves and Arithmetic Invariants
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