A different method to calculate the rank of an elliptic threefold (Q422058)
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scientific article; zbMATH DE number 6035456
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A different method to calculate the rank of an elliptic threefold |
scientific article; zbMATH DE number 6035456 |
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A different method to calculate the rank of an elliptic threefold (English)
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16 May 2012
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The author presents a method for computing the rank of \(E(\overline \mathbb{Q}(s,t))\) for some elliptic curve \(E/\mathbb{Q}(s,t)\). To do this, a generalization of a method due to \textit{B. van Geemen} and \textit{J. Werner} [Lect. Notes Math. 1399, 48--59 (1989; Zbl 0697.14027)] to calculate the fourth Betti number for a nodal 3-fold projective hypersurface is given.
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elliptic curve
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elliptic threefold
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