Elliptic Curves and Arithmetic Invariants (Hardcover, 2013 ed.)

This book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including mu-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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Springer Monographs in Mathematics
Release date:	June 2013
First published:	2013
Authors:	Haruzo Hida
Dimensions:	235 x 155 x 31mm (L x W x T)
Format:	Hardcover
Pages:	450
Edition:	2013 ed.
ISBN-13:	978-1-4614-6656-7
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	1-4614-6656-3
Barcode:	9781461466567

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