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Graduate Texts in Mathematics

Advanced Topics in the Arithmetic of Elliptic Curves

Authors: Silverman, Joseph H.

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About this Textbook

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of canonical local height functions.

Table of contents (7 chapters)

Buy this book

eBook 36,99 €
price for Spain (gross)
  • ISBN 978-1-4612-0851-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,75 €
price for Spain (gross)
  • ISBN 978-0-387-94328-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Advanced Topics in the Arithmetic of Elliptic Curves
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
151
Copyright
1994
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0851-8
DOI
10.1007/978-1-4612-0851-8
Softcover ISBN
978-0-387-94328-2
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XIII, 528
Topics