2026-06-07T15:17:23Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/419302023-08-28T06:07:08Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
González Pérez, Pedro Daniel
author
Cobo Pablos, Maria Helena
2023-06-20T00:05:22Z
2023-06-20T00:05:22Z
2010
1469-8064
10.1017/S0305004110000101
https://hdl.handle.net/20.500.14352/41930
https://doi.org/10.1017/S0305004110000101
Geometric motivic Poincaré series of a germ at a singular point of complex algebraic variety describes the truncated images of the space of arcs through the singular point. Denef and Loeser proved that it has a rational form. In this paper, the authors study an irreducible germ of quasi-ordinary hypersurface singularities and introduce the notion of logarithmic Jacobian ideals. The main result of this paper is to give the explicit rational form of geometric motivic Poincaré series of such a singularity in terms of the lattice and the Newton polyhedra of the logarithmic Jacobian ideals.
eng
Geometric motivic Poincaré series of quasi-ordinary singularities
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2010geometric.pdf
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