{"product_id":"advanced-topics-in-the-arithmetic-of-elliptic-curves-von-joseph-h-silverman","title":"Advanced Topics in the Arithmetic of Elliptic Curves","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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9780387943282\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9780387943251\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9780387943282","offer_id":39415043457117,"sku":"9780387943282","price":69.54,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9780387943251","offer_id":51450271046,"sku":"9780387943251","price":96.29,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/4b582fe2-3c36-4ae5-9cd1-87a63c20efa2.jpg?v=1772168650","url":"https:\/\/shop.autorenwelt.de\/en\/products\/advanced-topics-in-the-arithmetic-of-elliptic-curves-von-joseph-h-silverman","provider":"Autorenwelt Shop","version":"1.0","type":"link"}