Advanced Topics in the Arithmetic of Elliptic Curves:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1994
|
| Series: | Graduate Texts in Mathematics
151 |
| Subjects: | |
| Online Access: | Volltext |
| Item 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 |
| Physical Description: | 1 Online-Ressource (XIII, 528 p) |
| ISBN: | 9781461208518 9780387943282 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-0851-8 |
Staff View
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| indexdate | 2024-07-10T01:21:05Z |
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| isbn | 9781461208518 9780387943282 |
| issn | 0072-5285 |
| language | English |
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| spelling | Silverman, Joseph H. Verfasser aut Advanced Topics in the Arithmetic of Elliptic Curves by Joseph H. Silverman New York, NY Springer New York 1994 1 Online-Ressource (XIII, 528 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 151 0072-5285 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 Mathematics Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Arithmetik (DE-588)4002919-0 gnd rswk-swf Elliptische Kurve (DE-588)4014487-2 gnd rswk-swf Elliptische Kurve (DE-588)4014487-2 s Arithmetik (DE-588)4002919-0 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-0851-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Silverman, Joseph H. Advanced Topics in the Arithmetic of Elliptic Curves Mathematics Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Arithmetik (DE-588)4002919-0 gnd Elliptische Kurve (DE-588)4014487-2 gnd |
| subject_GND | (DE-588)4002919-0 (DE-588)4014487-2 |
| title | Advanced Topics in the Arithmetic of Elliptic Curves |
| title_auth | Advanced Topics in the Arithmetic of Elliptic Curves |
| title_exact_search | Advanced Topics in the Arithmetic of Elliptic Curves |
| title_full | Advanced Topics in the Arithmetic of Elliptic Curves by Joseph H. Silverman |
| title_fullStr | Advanced Topics in the Arithmetic of Elliptic Curves by Joseph H. Silverman |
| title_full_unstemmed | Advanced Topics in the Arithmetic of Elliptic Curves by Joseph H. Silverman |
| title_short | Advanced Topics in the Arithmetic of Elliptic Curves |
| title_sort | advanced topics in the arithmetic of elliptic curves |
| topic | Mathematics Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Arithmetik (DE-588)4002919-0 gnd Elliptische Kurve (DE-588)4014487-2 gnd |
| topic_facet | Mathematics Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Arithmetik Elliptische Kurve |
| url | https://doi.org/10.1007/978-1-4612-0851-8 |
| work_keys_str_mv | AT silvermanjosephh advancedtopicsinthearithmeticofellipticcurves |