Elliptic fibrations on cubic surfaces
Algebraic Geometry
2008-07-08 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.0807.0696,
title = {Elliptic fibrations on cubic surfaces},
author = {Gavin Brown and Daniel Ryder},
journal= {arXiv preprint arXiv:0807.0696},
year = {2008}
}
Comments
19 pages