Resolving 3-dimensional toric singularities

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

Latex 2e, 32 pages, 4 eps-figures. To appear in actes de l'école d'été ``Géométrie des variétés toriques'' (Grenoble, 2000), collection Séminaires et Congr`es, SMF 2002. A preliminary version of these proceedings is available at http://www-fourier.ujf-grenoble.fr/~mbrion/ecole.html

References in corpus (1)

• How to calculate A-Hilb C^3

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• Flip Paths Between Lattice Triangulations
• Hilbert desingularizations for three dimensional canonical cyclic quotient singularities