Geometric motivic Poincaré series of quasi-ordinary singularities
The geometric motivic Poincaré series of a germ (S, 0) of complex algebraic variety takes into account the classes in the Grothendieck ring of the jets of arcs through (S, 0). Denef and Loeser proved that this series has a rational form. We give an explicit description of this invariant when (S, 0)...
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| Veröffentlicht in: | Math. Proc. Camb. Phil. Soc 2010-07, Vol.149 (1), p.49-74 |
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| container_title | Math. Proc. Camb. Phil. Soc |
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| creator | COBO PABLOS, HELENA GONZÁLEZ PÉREZ, PEDRO D. |
| description | The geometric motivic Poincaré series of a germ (S, 0) of complex algebraic variety takes into account the classes in the Grothendieck ring of the jets of arcs through (S, 0). Denef and Loeser proved that this series has a rational form. We give an explicit description of this invariant when (S, 0) is an irreducible germ of quasi-ordinary hypersurface singularity in terms of the Newton polyhedra of the logarithmic jacobian ideals. These ideals are determined by the characteristic monomials of a quasi-ordinary branch parametrizing (S, 0). |
| doi_str_mv | 10.1017/S0305004110000101 |
| format | Article |
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| ispartof | Math. Proc. Camb. Phil. Soc, 2010-07, Vol.149 (1), p.49-74 |
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| subjects | Algebra Algebraic Geometry Geometry Invariants Jacobians Jets Mathematical analysis Mathematics Parameter estimation Polyhedra Polyhedrons Singularities |
| title | Geometric motivic Poincaré series of quasi-ordinary singularities |
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