Advanced Topics in the Arithmetic of Elliptic Curves: 151 (Graduate Texts in Mathematics) - Hardcover

Advanced Topics in the Arithmetic of Elliptic Curves

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9780387943251

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