On contractible curves on normal surfaces
Algebraic Geometry
2007-05-23 v1
Abstract
We characterize contractible curves on proper normal algebraic surfaces in terms of complementary Weil divisors. Using this we generalize the classical criteria of Castelnuovo and Artin. As application we derive a finiteness result on homogeneous spectra defined by Weil divisors on surfaces.
Keywords
Cite
@article{arxiv.math/9911119,
title = {On contractible curves on normal surfaces},
author = {Stefan Schroeer},
journal= {arXiv preprint arXiv:math/9911119},
year = {2007}
}
Comments
20 pages, submitted to J. Reine Angew. Math