6 papers
Smoothing of singular intersections of ellipsoids: pyramitoid
Enrique Artal Bartolo, Santiago López de Medrano, María Teresa Lozano Imízcoz
The goal of this work is to continue the study the smoothings of 3-dimensional manifolds with singularities obtained as small covers of non simple right-angle Coxeter polyhedral or…
Topology of complex plane curves: braid monodromy, local and global problems
Enrique Artal Bartolo
The embeddings of complex plane projective curves in the plane are a cornerstone of the topological study of algebraic varieties. In this work, we deal with the local and global as…
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…
Dicritical divisors and hypercurvettes
Enrique Artal Bartolo, Willem Veys
Germs of rational functions~ on points of smooth varieties~ define germs of rational maps to the projective line. Assume that is in the indeterminacy locus of . If…
Superisolated singularities and friends
Enrique Artal Bartolo
Superisolated surface singularities in were introduced by I. Luengo to prove that the -constant stratum may be singular. The main feature of this family is th…
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…