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González Pérez, Pedro Daniel ; González-Sprinberg, Gérard | Department of Mathematics, Tokyo Institute of Technology | 2004-06Let (X, 0) be an irreducible germ of complex analytic space and b: (B,E) ! (X, 0) be its normalized blow-up centered at 0 2 X, that is, the map obtained by first blowing-up 0 on X and then normalizing the new space. To each irreducible component[...]texto impreso
We analyze the expansions in terms of the approximate roots of a Weierstrass polynomial f is an element of C{x}[y], defining a plane branch (C, 0), in the light of the toric embedded resolution of the branch. This leads to the definition of a cl[...]texto impreso
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The arithmetic motivic Poincaré series of a variety V defined over a field of characteristic zero, is an invariant of singularities which was introduced by Denef and Loeser by analogy with the Serre-Oesterlé series in arithmetic geometry. They p[...]texto impreso
In this paper we give a positive answer to a question of Nash, concerning the arc space of a singularity, for the class of quasi-ordinary hypersurface singularities, extending to this case previous results and techniques of Shihoko Ishii.texto impreso
A polar hypersurface P of a complex analytic hypersurface germ f = 0 can be investigated by analyzing the invariance of certain Newton polyhedra associated with the image of P, with respect to suitable coordinates, by certain morphisms appropria[...]texto impreso
We give a method to construct a partial embedded resolution of a nonnecessarily normal affine toric variety Z(Gamma) equivariantly embedded in a normal affine toric variety Z(rho). This partial resolution is an embedded normalization inside a no[...]texto impreso
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 [...]texto impreso
González Pérez, Pedro Daniel ; González Villa, Manuel ; Budur, Nero | American Mathematical Society | 2012The log canonical thresholds of irreducible quasi-ordinary hypersurface singularities are computed, using an explicit list of pole candidates for the motivic zeta function found by the last two authors.texto impreso
Buder, Nero ; González Pérez, Pedro Daniel ; Gozález Villa, Manuel | American Mathematical Society | 2012The log canonical thresholds of irreducible quasi-ordinary hypersurface singularities are computed using an explicit list of pole candidates for the motivic zeta function found by the last two authors.texto impreso
González Pérez, Pedro Daniel | 2008We describe the jacobian ideal of the fibers St of an equiresolvable deformation of a quasi-ordinary hypersurface singularity (S, 0). This kind of deformation, inspired by the work of Teissier, has generic _ber isomorphic to (S, 0) and special f[...]texto impreso
Rodríguez Velasco, Gema de Jesús ; Benavent Merchán, María Teresa ; Cabeza Llorca, Ana ; Carvajal García-Pando, Amador ; Cimadevilla Rodríguez, Francisco Javier ; Díaz-Cano Ocaña, Antonio ; Folgueira López, Marta ; García-Ochoa Roldán, María Luisa ; Giraldo Suárez, Luis ; Gómez Chacón, Inés María ; González Pérez, Pedro Daniel ; Infante del Río, Juan Antonio ; Ortega Mallén, Yolanda ; Seoane Sepúlveda, Juan Benigno | 2017-07-07texto impreso
Let f : (Cd+1, 0) -> (C, 0) be a germ of complex analytic function such that its zero level defines an irreducible germ of quasi-ordinary hypersurface (S, 0) subset of (Cd+1, 0). We describe the motivic Igusa zeta function, the motivic Milnor f[...]texto impreso
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 [...]texto impreso
This paper is motivated by the results of G. Mikhalkin about a certain class of real algebraic curves, called Harnack curves, in toric surfaces. Mikhalkin has proved the existence of such curves as well as topological uniqueness of their real lo[...]
