Transcendental lattice of an extremal elliptic surface (Q2894540)
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scientific article; zbMATH DE number 6051366
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transcendental lattice of an extremal elliptic surface |
scientific article; zbMATH DE number 6051366 |
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Transcendental lattice of an extremal elliptic surface (English)
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29 June 2012
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Extremal elliptic surfaces
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Transcendental lattice
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An extremal elliptic surface is a Jacobian elliptic surfaces with maximal Picard number, i.e., the rank of \(NS(X)\) equals \(h^{1,1}(X)\), and such that the Mordell-Weil group is finite.NEWLINENEWLINEIn this paper an algorithm is presented to calculate the transcendental lattice of extremal elliptic surfaces with non-constant \(j\)-invariant having no singular fiber of type \(E_6, E_7\) or \(E_8\). Furthermore, the author applies this algorithm to four series of examples of extremal elliptic surfaces.
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