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arxiv: 0907.2176 · v3 · pith:PRHKPQFMnew · submitted 2009-07-13 · 🧮 math.AG · math.CV

On homotopy types of complements of analytic sets and Milnor fibres

classification 🧮 math.AG math.CV
keywords analyticmilnorcomplexfibregeometricgermhypersurfacemonodromy
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We prove that for any germ of complex analytic set in $\CC^n$ there exists a hypersurface singularity whose Milnor fibration has trivial geometric monodromy and fibre homotopic to the complement of the germ of complex analytic set. As an application we show an example of a quasi-homogeneous hypersurface singularity, with trivial geometric monodromy and simply connected and non-formal Milnor fibre.

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