Modular Curves and Abelian Varieties:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser Basel
2004
|
| Series: | Progress in Mathematics
224 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | It would be difficult to overestimate the influence and importance of modular forms, modular curves, and modular abelian varieties in the development of num ber theory and arithmetic geometry during the last fifty years. These subjects lie at the heart of many past achievements and future challenges. For example, the theory of complex multiplication, the classification of rational torsion on el liptic curves, the proof of Fermat's Last Theorem, and many results towards the Birch and Swinnerton-Dyer conjecture all make crucial use of modular forms and modular curves. A conference was held from July 15 to 18, 2002, at the Centre de Recerca Matematica (Bellaterra, Barcelona) under the title "Modular Curves and Abelian Varieties". Our conference presented some of the latest achievements in the theory to a diverse audience that included both specialists and young researchers. We emphasized especially the conjectural generalization of the Shimura-Taniyama conjecture to elliptic curves over number fields other than the field of rational numbers (elliptic Q-curves) and abelian varieties of dimension larger than one (abelian varieties of GL2-type) |
| Physical Description: | 1 Online-Ressource (VIII, 289 p) |
| ISBN: | 9783034879194 9783034896214 |
| DOI: | 10.1007/978-3-0348-7919-4 |
Staff View
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| id | DE-604.BV042421986 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034879194 9783034896214 |
| language | English |
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| series2 | Progress in Mathematics |
| spelling | Cremona, John E. Verfasser aut Modular Curves and Abelian Varieties edited by John E. Cremona, Joan-Carles Lario, Jordi Quer, Kenneth A. Ribet Basel Birkhäuser Basel 2004 1 Online-Ressource (VIII, 289 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 224 It would be difficult to overestimate the influence and importance of modular forms, modular curves, and modular abelian varieties in the development of num ber theory and arithmetic geometry during the last fifty years. These subjects lie at the heart of many past achievements and future challenges. For example, the theory of complex multiplication, the classification of rational torsion on el liptic curves, the proof of Fermat's Last Theorem, and many results towards the Birch and Swinnerton-Dyer conjecture all make crucial use of modular forms and modular curves. A conference was held from July 15 to 18, 2002, at the Centre de Recerca Matematica (Bellaterra, Barcelona) under the title "Modular Curves and Abelian Varieties". Our conference presented some of the latest achievements in the theory to a diverse audience that included both specialists and young researchers. We emphasized especially the conjectural generalization of the Shimura-Taniyama conjecture to elliptic curves over number fields other than the field of rational numbers (elliptic Q-curves) and abelian varieties of dimension larger than one (abelian varieties of GL2-type) Mathematics Geometry, algebraic Number theory Number Theory Algebraic Geometry Mathematik Elliptische Funktion (DE-588)4134665-8 gnd rswk-swf Elliptische Funktion (DE-588)4134665-8 s 1\p DE-604 Lario, Joan-Carles Sonstige oth Quer, Jordi Sonstige oth Ribet, Kenneth A. Sonstige oth https://doi.org/10.1007/978-3-0348-7919-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cremona, John E. Modular Curves and Abelian Varieties Mathematics Geometry, algebraic Number theory Number Theory Algebraic Geometry Mathematik Elliptische Funktion (DE-588)4134665-8 gnd |
| subject_GND | (DE-588)4134665-8 |
| title | Modular Curves and Abelian Varieties |
| title_auth | Modular Curves and Abelian Varieties |
| title_exact_search | Modular Curves and Abelian Varieties |
| title_full | Modular Curves and Abelian Varieties edited by John E. Cremona, Joan-Carles Lario, Jordi Quer, Kenneth A. Ribet |
| title_fullStr | Modular Curves and Abelian Varieties edited by John E. Cremona, Joan-Carles Lario, Jordi Quer, Kenneth A. Ribet |
| title_full_unstemmed | Modular Curves and Abelian Varieties edited by John E. Cremona, Joan-Carles Lario, Jordi Quer, Kenneth A. Ribet |
| title_short | Modular Curves and Abelian Varieties |
| title_sort | modular curves and abelian varieties |
| topic | Mathematics Geometry, algebraic Number theory Number Theory Algebraic Geometry Mathematik Elliptische Funktion (DE-588)4134665-8 gnd |
| topic_facet | Mathematics Geometry, algebraic Number theory Number Theory Algebraic Geometry Mathematik Elliptische Funktion |
| url | https://doi.org/10.1007/978-3-0348-7919-4 |
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