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math.AG2010
On algebraic representatives of homeomorphism types of analytic hypersurface germs
Javier Fernandez de Bobadilla
A question of B. Teissier, inspired by a previous problem of R. Thom, asks whether for any germ of complex analytic hypersurface there exists a germ of complex algebraic hypersurfa…
math.AG2010
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…