{"product_id":"advanced-topics-in-the-arithmetic-of-elliptic-curves-graduate-texts-in-mathematics-151-0387943285","title":"Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics, 151)","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0387943285\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Silverman, Joseph H.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eIn 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.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":51824098050336,"sku":"NEW0387943285","price":76.01,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0980\/7426\/3840\/files\/61q0cvPlWnL_271533bf-471e-40c6-b1b9-f93b597c743a.jpg?v=1781208034","url":"https:\/\/miakarts.com\/products\/advanced-topics-in-the-arithmetic-of-elliptic-curves-graduate-texts-in-mathematics-151-0387943285","provider":"Miakarts Books","version":"1.0","type":"link"}