The Denef-Loeser series for toric surface singularities.

Título inglés	The Denef-Loeser series for toric surface singularities.
Título español	La serie de Denef-Loeser para singularidades en superficies tóricas.
Autor/es	Lejeune-Jalabert, Monique ; Reguera, Ana J.
Organización	CNRS, LAMA UMR CNRS-UVSQ, Versalles, Francia;Dep. Alg. Geom. Univ. Valladolid, Valladolid, España
Revista	0213-2230
Publicación	2003, 19(2): 581-612, 14 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Let H denote the set of formal ares going through a singular point of an algebraic variety V defined over an algebraically closed field k of charactcristic zcro. In the late sixties, J, Nash has observed that for any nonnegative integer s, the set js(H) of s-jets of ares in H is a constructible subset of some affine space. Recently (1999), J. Denef and F. Loeser have proved that the Poincaré series associated with the image of js(H) in some suitable localization of the Grothendieck ring of algebraic varieties over k is a rational function. We compute this function for normal toric surface singularities.
Clasificación UNESCO	120101
Palabras clave español	Geometría algebraica ; Singularidades ; Toros geométricos ; Series de potencias
Código MathReviews	MR2023199
Código Z-Math	Zbl 1058.14006
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