8 citations · 8 across the 4 of their papers we have counts for
3 papers · 1 filter
Irreducibility of analytic arc-sections of hypersurface singularities
Miguel Angel Marco-Buzunariz, Maria Pe Pereira
We explore the existence of irreducible and reducible arc-sections in an irreducible hypersurface singularity germ along finite projections. In particular we provide examples of ir…
An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group
E. Artal, J. I. Cogolludo-Agustín, B. Guerville-Ballé +1
In a previous work, the third named author found a combinatorics of line arrangements whose realizations live in the cyclotomic group of the fifth roots of unity and such that thei…
Topology of hypersurface singularities with 3-dimensional critical set
Javier Fernandez de Bobadilla, Miguel Angel Marco-Buzunariz
In this paper, we prove that the Milnor fibre of a singularity over an i.c.i.s. of dimension 3 has the homotopy type of a bouquet of spheres, provided that the function that define…