{"product_id":"books-the-advanced-topics-in-the-arithmetic-of-elliptic-curves-by-joseph-h-silverman","title":"The 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. I. Elliptic curves with complex multiplication. I. 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.","brand":"World of Books ","offers":[{"title":"Default Title","offer_id":53671182041361,"sku":null,"price":0.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780387943251_4e06834d-8314-4c8f-a7d7-dfea28d07b23.jpg?v=1781515135","url":"https:\/\/www.worldofbooks.com\/products\/books-the-advanced-topics-in-the-arithmetic-of-elliptic-curves-by-joseph-h-silverman","provider":"World of Books ","version":"1.0","type":"link"}