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arXiv · 1307.5650

$\mathbb Q$-bases of the N\'eron-Severi groups of certain elliptic surfaces

Masamichi Kuroda
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Abstract

P. Stiller computed the Picard numbers of several families of elliptic surfaces, the rank of the N\'eron-Severi groups of these surfaces. However he did not give the generators of these groups. In this paper we give $\mathbb Q$-bases of these groups explicitly. If these surfaces are rational, then we also show that they are $\mathbb Z$-bases.

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Masamichi Kuroda. 2013-07-22. $\mathbb Q$-bases of the N\'eron-Severi groups of certain elliptic surfaces. https://doi.org/10.2140/pjm.2015.273.101

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