Vanishing polyhedron and collapsing map
Tráng, Lê Dũng · Neto, Aurélio Menegon
Original · EN
In this paper we give a detailed proof that the Milnor fiber Xₜ of an analytic complex isolated singularity function defined on a reduced n-equidimensional analytic complex space X is a regular neighborhood of a polyhedron Pₜ ⊂ Xₜ of real dimension n-1. Moreover, we describe the degeneration of Xₜ onto the special fiber X₀, by giving a continuous collapsing map Ψₜ: Xₜ → X₀ which sends Pₜ to {0} and which restricts to a homeomorphism Xₜ Pₜ → X₀ {0}.
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