6 papers · 1 filter
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…
Milnor number of plane curve singularities in arbitrary characteristic
Enrique Artal Bartolo, Pierrette Cassou-Noguès
Reduced power series in two variables with coefficients in a field of characteristic zero satisfy a well-known formula that relates a codimension related to the normalization of a…