Normal del Pezzo surfaces containing a nonrational singularity
Algebraic Geometry
2007-05-23 v2
Abstract
Working over a perfect field, I classify normal del Pezzo surfaces with base number one that contain a nonrational singularity. They form a huge infinite hierarchy; contractions of ruled surfaces lie on top of it. Descending the hierarchy hinges on a generalized version of elementary transformations. As an application, I determine the structure of 2-dimensional anticanonical models for arbitrary normal surfaces.
Cite
@article{arxiv.math/0001118,
title = {Normal del Pezzo surfaces containing a nonrational singularity},
author = {Stefan Schroeer},
journal= {arXiv preprint arXiv:math/0001118},
year = {2007}
}
Comments
Minor changes, 17 pages, to appear in Manuscr. Math