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Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics, 151) - Hardcover
Synopsis
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.
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Review
..."this book deserves to be as popular as its forerunner and a great many people will be looking forward to reading a third volume." - Monatshefte fr Mathematik
.,."this book deserves to be as popular as its forerunner and a great many people will be looking forward to reading a third volume." - Monatshefte fA1/4r Mathematik
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- PublisherSpringer
- Publication date1994
- ISBN 10 0387943250
- ISBN 13 9780387943251
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages541
- Rating
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Advanced Topics in the Arithmetic of Elliptic Curves
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 548 pp. Englisch. Seller Inventory # 9780387943251
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Advanced Topics in the Arithmetic of Elliptic Curves
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Buch. Condition: 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. Seller Inventory # 9780387943251
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Advanced Topics in the Arithmetic of Elliptic Curves
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