(DOWNLOAD) "Elliptic Curves and Arithmetic Invariants" by Haruzo Hida * Book PDF Kindle ePub Free

January 30, 2021

eBook details

Title: Elliptic Curves and Arithmetic Invariants
Author : Haruzo Hida
Release Date : January 13, 2013
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 17404 KB

Description

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 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.

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