Elliptic fibrations on cubic surfaces

Brown, Gavin; Ryder, Daniel

BrownRyder.pdf (715.41 kB)

Elliptic fibrations on cubic surfaces

journal contribution

posted on 2014-09-17, 13:53 authored by Gavin Brown, Daniel Ryder

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.

History

School

Science

Department

Mathematical Sciences

Published in

JOURNAL OF PURE AND APPLIED ALGEBRA

Volume

214

Issue

4

Pages

410 - 421 (12)

Citation

BROWN, G. and RYDER, D., 2010. Elliptic fibrations on cubic surfaces. Journal of Pure and Applied Algebra, 214 (4), pp. 410 - 421.

Publisher

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2010

Notes

This article is published in the Journal of Pure and Applied Algebra under an Elsevier user licence. Details of the terms and conditions of this licence are available here: http://www.elsevier.com/about/open-access/open-access-policies/oa-license-policy/elsevier-user-license.