Description
| Product ID: | 9780387943282 |
| Product Form: | Paperback / softback |
| Country of Manufacture: | US |
| Series: | Graduate Texts in Mathematics |
| Title: | Advanced Topics in the Arithmetic of Elliptic Curves |
| Authors: | Author: Joseph H. Silverman |
| Page Count: | 528 |
| Subjects: | Algebraic geometry, Algebraic geometry |
| Description: | 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. |
| Imprint Name: | Springer-Verlag New York Inc. |
| Publisher Name: | Springer-Verlag New York Inc. |
| Country of Publication: | GB |
| Publishing Date: | 1994-11-04 |
