Advanced Topics in the Arithmetic of Elliptic Curves

di Joseph H. Silverman (Autore)

Springer-Verlag New York Inc., 1994

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.

• Autore: Joseph H. Silverman
• Editore: Springer-Verlag New York Inc.
• Collana: Graduate Texts in Mathematics
• Anno: 1994
• Rilegatura: Hardback
• Pagine: 528 p.
• Dimensioni: 235 x 155 mm
• EAN: 9780387943251

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