The elliptic threefold y^2=x^3+16s^6+16t^6-32(t^3s^3+t^3+s^3)+16
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2008
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| Acceso en línea: | |
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| _version_ | 1866917807070904320 |
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| author | Kloosterman, Remke |
| author_facet | Kloosterman, Remke |
| contents | We present a method to calculate the rank of $E(\oQ(s,t))$ for the elliptic curve mentioned in the title. This method uses a generalization of a method from Van Geemen and Werner to calculate $h^4(Y)$ for nodal hypersurfaces $Y$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0812_3222 |
| institution | arXiv |
| publishDate | 2008 |
| record_format | arxiv |
| spellingShingle | The elliptic threefold y^2=x^3+16s^6+16t^6-32(t^3s^3+t^3+s^3)+16 Kloosterman, Remke Algebraic Geometry Number Theory We present a method to calculate the rank of $E(\oQ(s,t))$ for the elliptic curve mentioned in the title. This method uses a generalization of a method from Van Geemen and Werner to calculate $h^4(Y)$ for nodal hypersurfaces $Y$. |
| title | The elliptic threefold y^2=x^3+16s^6+16t^6-32(t^3s^3+t^3+s^3)+16 |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/0812.3222 |