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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.
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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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- VerlagSpringer
- Erscheinungsdatum2013
- ISBN 10 1461466563
- ISBN 13 9781461466567
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten468
- Kontakt zum HerstellerNicht verfügbar
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Elliptic Curves and Arithmetic Invariants
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Elliptic Curves and Arithmetic Invariants (Springer Monographs in Mathematics)
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Elliptic Curves and Arithmetic Invariants
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Springer US, Springer New York, 2013
ISBN 10: 1461466563
ISBN 13: 9781461466567
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including mi-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. Artikel-Nr. 9781461466567
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Elliptic Curves and Arithmetic Invariants
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Hardcover. Zustand: Brand New. 466 pages. 9.25x6.25x1.25 inches. In Stock. Artikel-Nr. x-1461466563
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