8 papers
Retraction of the complement of smooth projective curves to a -dimensional -complex
E. Artal, A. Larraya Sancho, M. A. Marco Buzunariz
Due to a result by Andreotti and Frankel \cite{andreotti1959}, it can be seen that the complement of a complex projective curve has the homotopy type of a -dimensional CW comple…
Smoothing of singular intersections of ellipsoids: pyramitoid
Enrique Artal Bartolo, Santiago López de Medrano, MarÃa Teresa Lozano ImÃzcoz
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 p…
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…
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…