Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)
Springer
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 Studio: Springer
 Theatrical Release Date: Dec 31, 1969
 DVD Release Date: Dec 31, 1969
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 ASIN: 0387943285
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 Sales Rank: 1677983
Editorial Review from Product Description:
In the introduction to the first volume of The Arithmetic of Elliptic Curves (SpringerVerlag, 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, KodairaNeron classification of special fibers, Tate's algorithm, and Ogg's conductordiscriminant formula. V. Tate's theory of qcurves over padic fields. VI. Neron's theory of canonical local height functions.

