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Heegner modules and elliptic curves
Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main te...
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| Lenguaje: | eng |
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Springer
2004
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| Acceso en línea: | https://dx.doi.org/10.1007/b98488 http://cds.cern.ch/record/1691376 |
| _version_ | 1780935739505115136 |
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| author | Brown, Martin L |
| author_facet | Brown, Martin L |
| author_sort | Brown, Martin L |
| collection | CERN |
| description | Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main technical result and is applied to prove the Tate conjecture for a class of elliptic surfaces over finite fields; this conjecture is equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields. |
| id | cern-1691376 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2004 |
| publisher | Springer |
| record_format | invenio |
| spelling | cern-16913762021-04-21T21:10:27Zdoi:10.1007/b98488http://cds.cern.ch/record/1691376engBrown, Martin LHeegner modules and elliptic curvesMathematical Physics and MathematicsHeegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main technical result and is applied to prove the Tate conjecture for a class of elliptic surfaces over finite fields; this conjecture is equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields.Springeroai:cds.cern.ch:16913762004 |
| spellingShingle | Mathematical Physics and Mathematics Brown, Martin L Heegner modules and elliptic curves |
| title | Heegner modules and elliptic curves |
| title_full | Heegner modules and elliptic curves |
| title_fullStr | Heegner modules and elliptic curves |
| title_full_unstemmed | Heegner modules and elliptic curves |
| title_short | Heegner modules and elliptic curves |
| title_sort | heegner modules and elliptic curves |
| topic | Mathematical Physics and Mathematics |
| url | https://dx.doi.org/10.1007/b98488 http://cds.cern.ch/record/1691376 |
| work_keys_str_mv | AT brownmartinl heegnermodulesandellipticcurves |