Authors:
- 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)
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Front Matter
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Back Matter
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
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Department of Mathematics, University of California, Los Angeles, Los Angeles, USA
Haruzo Hida
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