#### Vol. 273, No. 1, 2015

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$\mathbb Q$-bases of the Néron–Severi groups of certain elliptic surfaces

### Masamichi Kuroda

Vol. 273 (2015), No. 1, 101–121
##### Abstract

P. Stiller computed the rank of the Néron–Severi group (known as the Picard number) for several families of elliptic surfaces. However, he did not give the generators of these groups. In this paper we give $ℚ$-bases of these groups explicitly. If these surfaces are rational, we also show that they are $ℤ$-bases.

##### Keywords
elliptic surfaces, Néron–Severi groups
Primary: 14J27