English

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

Algebraic Geometry 2016-01-20 v3

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 Q\mathbb Q-bases of these groups explicitly. If these surfaces are rational, then we also show that they are Z\mathbb Z-bases.

Keywords

Cite

@article{arxiv.1307.5650,
  title  = {$\mathbb Q$-bases of the N\'eron-Severi groups of certain elliptic surfaces},
  author = {Masamichi Kuroda},
  journal= {arXiv preprint arXiv:1307.5650},
  year   = {2016}
}

Comments

19 pages