Advanced Topics in the Arithmetic of Elliptic Curves
Softcover reprint of the original 1st ed. 1994
Book Details
Format
Paperback / Softback
Book Series
Graduate Texts in Mathematics
ISBN-10
0387943285
ISBN-13
9780387943282
Edition
Softcover reprint of the original 1st ed. 1994
Publisher
Springer-Verlag New York Inc.
Imprint
Springer-Verlag New York Inc.
Country of Manufacture
US
Country of Publication
GB
Publication Date
Nov 4th, 1994
Print length
528 Pages
Weight
824 grams
Dimensions
23.30 x 15.70 x 2.90 cms
Product Classification:
Algebraic geometry
Ksh 9,900.00
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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."
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.
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