Overview
- Contains top-notch research that will interest both experts and advanced graduate students
- Written by an expert renowned for his discovery that modular forms fall into families, otherwise known as "Hida families"
- Limits material to elliptic modular curves and the corresponding Shimura curves in order to make the book more accessible to graduate students?
- Includes many exercises, examples, and applications that provide motivation for the reader
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (11 chapters)
Keywords
About this book
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)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Elliptic Curves and Arithmetic Invariants
Authors: Haruzo Hida
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-1-4614-6657-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-6656-7Published: 09 June 2013
Softcover ISBN: 978-1-4899-9092-1Published: 08 February 2015
eBook ISBN: 978-1-4614-6657-4Published: 13 June 2013
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XVIII, 450
Topics: Number Theory, Algebraic Geometry