Rational surfaces in index-one Fano hypersurfaces
Algebraic Geometry
2007-05-23 v1
Abstract
We give the first evidence for a conjecture that a general, index-one, Fano hypersurface is not unirational: (i) a general point of the hypersurface is contained in no rational surface ruled, roughly, by low-degree rational curves, and (ii) a general point is contained in no image of a Del Pezzo surface.
Cite
@article{arxiv.math/0601710,
title = {Rational surfaces in index-one Fano hypersurfaces},
author = {Roya Beheshti and Jason Michael Starr},
journal= {arXiv preprint arXiv:math/0601710},
year = {2007}
}
Comments
13 pages, 6 diagrams