6 papers · 1 filter
Denef-Loeser zeta functions of suspensions and Lê-Yomdin singularities
Enrique Artal Bartolo, Pedro D. González Pérez, Manuel González Villa +1
The holomorphy conjecture for suspensions of plane curve singularities and the holomorphy and monodromy conjectures for Lê-Yomdin singularities of surfaces are proved. The first pa…
Partition identities associated with -Surface singularities
Pooneh Afsharijoo, Pedro D. González Pérez, Hussein Mourtada
We prove a family of partition identities involving integer partitions in three colors. The conditions imposed on the types of partitions appearing in these identities involve cons…
Quasi-ordinary hypersurfaces, multiplier ideals and local tropicalizations
Pedro D. González Pérez, Miguel Robredo Buces
In this paper we describe the multiplier ideals and jumping numbers associated with an irreducible germ of quasi-ordinary hypersurface by usi…
Lotuses as computational architectures
Evelia R. García Barroso, Pedro D. González Pérez, Patrick Popescu-Pampu
Lotuses are certain types of finite contractible simplicial complexes, obtained by identifying vertices of polygons subdivided by diagonals. As we explained in a previous paper, ea…
On a suspension formula for Denef-Loeser zeta functions
E. Artal Bartolo, P. D. González Pérez, M. González Villa +1
Formulas for the topological zeta functions of suspensions by 2 points are due to Artal et al. We generalize these formulas to the motivic level and for arbitrary suspensions, by u…
Ultrametric properties for valuation spaces of normal surface singularities
Evelia García Barroso, Pedro González Pérez, Patrick Popescu-Pampu +1
Let be a fixed branch -- that is, an irreducible germ of curve -- on a normal surface singularity . If are two other branches, define $u_L(A,B) := \dfrac{(L \cdot A) \…