On cubic surfaces with a rational line
Algebraic Geometry
2011-06-22 v1 Number Theory
Abstract
We report on our project to construct non-singular cubic surfaces over with a rational line. Our method is to start with degree 4 Del Pezzo surfaces in diagonal form. For these, we develop an explicit version of Galois descent.
Cite
@article{arxiv.1106.4130,
title = {On cubic surfaces with a rational line},
author = {Andreas-Stephan Elsenhans and Jörg Jahnel},
journal= {arXiv preprint arXiv:1106.4130},
year = {2011}
}