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Author:   Haruzo Hida
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2013 ed.
Dimensions:   Width: 15.50cm , Height: 2.40cm , Length: 23.50cm
Weight:   7.022kg
ISBN:  

9781489990921

ISBN 10:   1489990925
Pages:   450
Publication Date:   08 February 2015
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Non-triviality of Arithmetic Invariants​.- 2 Elliptic Curves and Modular Forms.- 3 Invariants, Shimura Variety and Hecke Algebra.- 4 Review of Scheme Theory.- 5 Geometry of Variety.- 6 Elliptic and Modular Curves over Rings.- 7 Modular Curves as Shimura Variety.- 8 Non-vanishing Modulo p of Hecke L–values.- 9 p-Adic Hecke L-functions and their μ-invariants.- 10 Toric Subschemes in a Split Formal Torus.- 11 Hecke Stable Subvariety is a Shimura Subvariety​.- References.- Symbol Index.- Statement Index.- Subject Index.

Reviews

“The main aim of the book is to give an account of Hida’s results on arithmetic invariants in an accessible way. … The book is intended for mathematicians with some background on modular forms and is worthwhile for both graduate students and experts. … There are numerous examples, exercises, and remarks, all aimed at carefully helping the reader. In conclusion, this book is a very welcome addition to the mathematical literature.” (Florian Sprung, Mathematical Reviews, April, 2015) “The author gives in this book a detailed account of results concerning arithmetic invariants, including µ-invariant and L-invariant. … it contains a detailed account of the author’s recent results concerning arithmetic invariants. The book, addressed to advanced graduate students and experts working in number theory and arithmetic geometry, is a welcome addition to this beautiful and difficult area of research.” (Andrzej Dąbrowski, zbMATH, Vol. 1284, 2014)

The main aim of the book is to give an account of Hida's results on arithmetic invariants in an accessible way. ... The book is intended for mathematicians with some background on modular forms and is worthwhile for both graduate students and experts. ... There are numerous examples, exercises, and remarks, all aimed at carefully helping the reader. In conclusion, this book is a very welcome addition to the mathematical literature. (Florian Sprung, Mathematical Reviews, April, 2015) The author gives in this book a detailed account of results concerning arithmetic invariants, including -invariant and L-invariant. ... it contains a detailed account of the author's recent results concerning arithmetic invariants. The book, addressed to advanced graduate students and experts working in number theory and arithmetic geometry, is a welcome addition to this beautiful and difficult area of research. (Andrzej Dabrowski, zbMATH, Vol. 1284, 2014)

From the reviews: The author gives in this book a detailed account of results concerning arithmetic invariants, including -invariant and L-invariant. ... it contains a detailed account of the author's recent results concerning arithmetic invariants. The book, addressed to advanced graduate students and experts working in number theory and arithmetic geometry, is a welcome addition to this beautiful and difficult area of research. (Andrzej Dabrowski, zbMATH, Vol. 1284, 2014)

Author Information

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

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