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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." 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.
| Autorius: | Joseph H. Silverman |
| Serija: | Graduate Texts in Mathematics |
| Leidėjas: | Springer New York |
| Išleidimo metai: | 1994 |
| Knygos puslapių skaičius: | 548 |
| ISBN-10: | 0387943285 |
| ISBN-13: | 9780387943282 |
| Formatas: | 235 x 155 x 30 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Advanced Topics in the Arithmetic of Elliptic Curves“
