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

Hida, Haruzo

 
9781461466567: Elliptic Curves and Arithmetic Invariants (Springer Monographs in Mathematics)

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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

Von der hinteren Coverseite

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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Weitere beliebte Ausgaben desselben Titels

9781489990921: Elliptic Curves and Arithmetic Invariants (Springer Monographs in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  1489990925 ISBN 13:  9781489990921
Verlag: Springer, 2015
Softcover