posted on 2014-09-17, 13:53authored byGavin 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.
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.