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Elliptic Curves and Arithmetic Invariants (Springer Monographs in Mathematics) - Softcover

Book 107 of 187: Springer Monographs in Mathematics

Hida, Haruzo

 
9781489990921: Elliptic Curves and Arithmetic Invariants (Springer Monographs in Mathematics)
Softcover
ISBN 10: 1489990925 ISBN 13: 9781489990921
Publisher: Springer, 2015

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Haruzo Hida is currently a professor of mathematics at University of California, Los Angeles.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2015
Language
English
ISBN 10 
1489990925
ISBN 13 
9781489990921
Binding
Paperback
Number of pages
468