Elliptic fibrations on cubic surfaces

Details Elliptic fibrations on cubic surfaces Elliptic fibrations on cubic surfaces

2008-07-04

arxiv.org/abs/0807.0696v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

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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