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arXiv · 0807.0696

Elliptic fibrations on cubic surfaces

Gavin Brown·Daniel Ryder
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Abstract

We classify elliptic fibrations birational to a nonsingular, minimal cubic surface over a field of characteristic zero. Our proof is adapted to provide computational techniques for the analysis of such fibrations, and we describe an implementation of this analysis in computer algebra.

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Gavin Brown, Daniel Ryder. 2008-07-04. Elliptic fibrations on cubic surfaces. https://arxiv.org/abs/0807.0696

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