RT Journal Article
T1 Geometric motivic Poincaré series of quasi-ordinary singularities
A1 González Pérez, Pedro Daniel
A1 Cobo Pablos, Maria Helena
AB 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.
PB Cambridge University Press
SN 1469-8064
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/41930
UL https://hdl.handle.net/20.500.14352/41930
LA eng
NO Ministerio de Educación y Ciencia (MEC)
NO Fundación Caja Madrid
DS Docta Complutense
RD 7 abr 2025