Resolving 3-dimensional toric singularities
Algebraic Geometry
2007-05-23 v1 History and Overview
Abstract
This paper surveys, in the first place, some basic facts from the classification theory of normal complex singularities, including details for the low dimensions 2 and 3. Next, it describes how the toric singularities are located within the class of rational singularities, and recalls their main properties. Finally, it focuses, in particular, on a toric version of Reid's desingularization strategy in dimension three
Keywords
Cite
@article{arxiv.math/0110278,
title = {Resolving 3-dimensional toric singularities},
author = {Dimitrios I. Dais},
journal= {arXiv preprint arXiv:math/0110278},
year = {2007}
}
Comments
Latex 2e, 32 pages, 4 eps-figures. To appear in actes de l'\'ecole d'\'et\'e ``G\'eom\'etrie des vari\'et\'es toriques'' (Grenoble, 2000), collection S\'eminaires et Congr`es, SMF 2002. A preliminary version of these proceedings is available at http://www-fourier.ujf-grenoble.fr/~mbrion/ecole.html