On higher dimensional Hirzebruch-Jung singularities.

Título inglés	On higher dimensional Hirzebruch-Jung singularities.
Título español	Sobre las singularidades de Hirzebruch-Jung de dimensión superior.
Autor/es	Popescu-Pampu, Patrick
Organización	Inst. Mat. Univ. Paris 7, París, Francia
Revista	1139-1138
Publicación	2005, 18 (1): 209-232, 29 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	A germ of normal complex analytical surface is called a Hirzebruch-Jung singularity if it is analytically isomorphic to the germ at the 0-dimensional orbit of an affine toric surface. Two such germs are known to be isomorphic if and only if the toric surfaces corresponding to them are equivariantly isomorphic. We extend this result to higher-dimensional Hirzebruch-Jung singularities, which we define to be the germs analytically isomorphic to the germ at the 0-dimensional orbit of an affine toric variety determined by a lattice and a simplicial cone of maximal dimension. We deduce a normalization algorithm for quasi-ordinary hypersurface singularities.
Clasificación UNESCO	120101
Palabras clave español	Funciones algebroides ; Singularidades ; Hipersuperficies
Código MathReviews	MR2135539
Código Z-Math	Zbl 1076.32022
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