27 citations · 43 across the 10 of their papers we have counts for
12 papers
Logarithmic Jacobian ideals, quasi-ordinary hypersurfaces and equisingularity
Pedro D. González Pérez
Let be an irreducible germ of hypersurface. The germ is quasi-ordinary if has a finite projection to which…
The combinatorics of plane curve singularities. How Newton polygons blossom into lotuses
Evelia R. García Barroso, Pedro D. González Pérez, Patrick Popescu-Pampu
This survey may be seen as an introduction to the use of toric and tropical geometry in the analysis of plane curve singularities, which are germs of complex analytic curve…
Motivic Milnor fiber of a quasi-ordinary hypersurface
Pedro Daniel Gonzalez Perez, Manuel González Villa
Let be a germ of complex analytic function at such that its zero level defines an irreducible germ of quasi-ordinary hypersurface . We describe…
Motivic Poincaré series, toric singularities and logarithmic jacobian ideals
Helena Cobo Pablos, Pedro Daniel Gonzalez Perez
The geometric motivic Poincaré 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 arc…
Arithmetic Motivic Poincaré series of toric varieties
Helena Cobo Pablos, Pedro Daniel Gonzalez Perez
The arithmetic motivic Poincaré series of a variety defined over a field of characteristic zero, is an invariant of singularities which was introduced by Denef and Loeser by an…
Geometric motivic Poincaré series of quasi-ordinary singularities
Helena Cobo Pablos, Pedro Daniel Gonzalez Perez
The geometric motivic Poincaré series of a germ of complex algebraic variety takes into account the classes in the Grothendieck ring of the jets of arcs through . De…