RT Journal Article T1 Motivic Poincaré series, toric singularities and logarithmic Jacobian ideals A1 Cobo Pablos, H. A1 González Pérez, Pedro Daniel AB The geometric motivic Poincare series of a variety, which was introduced by Denef and Loeser, takes into account the classes in the Grothendieck ring of the sequence of jets of arcs in the variety. Denef and Loeser proved that this series has a rational form. We describe it in the case of an affine toric variety of arbitrary dimension. The result, which provides an explicit set of candidate poles, is expressed in terms of the sequence of Newton polyhedra of certain monomial ideals,which we call logarithmic Jacobian ideals, associated to the modules of differential forms with logarithmic poles outside the torus of the toric variety. PB American Mathematical Society SN 1056-3911 YR 2012 FD 2012 LK https://hdl.handle.net/20.500.14352/43859 UL https://hdl.handle.net/20.500.14352/43859 LA eng NO Ministerio de Educación y Ciencia (MEC) DS Docta Complutense RD 5 abr 2025