{"product_id":"9780387943282","title":"Advanced Topics in the Arithmetic of Elliptic Curves by Joseph H. Silverman","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.\" 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.\u003cbr\u003eBinding: Paperback \/ softback","brand":"Gardners","offers":[{"title":"Default Title","offer_id":56289553645941,"sku":"9780387943282","price":54.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0612\/7193\/3106\/files\/9780387943282.jpg?v=1762724294","url":"https:\/\/backstory.london\/products\/9780387943282","provider":"Backstory","version":"1.0","type":"link"}