Rational Curves on Quasi-Projective Surfaces
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
The main result is that a quasi-projective surface has negative log Kodaira dimension (i.e. no log pluricanonical sections) iff it is dominated by images of the affine line. This follows from our main intermediate result, that the smooth locus of a log Fano surface is rationally connected. We also give a classification of all but a bounded family of rank one log del Pezzo surfaces.
Cite
@article{arxiv.alg-geom/9707016,
title = {Rational Curves on Quasi-Projective Surfaces},
author = {Sean Keel and James McKernan},
journal= {arXiv preprint arXiv:alg-geom/9707016},
year = {2008}
}
Comments
159 pages