On homotopy types of complements of analytic sets and Milnor fibres

Details On homotopy types of complements of analytic sets and Milnor fibres On homotopy types of complements of analytic sets and Milnor fibres

2009-07-13

arxiv.org/abs/0907.2176v3

Mathematics

Algebraic Geometry

Mistake in the computation of last example corrected

Scientific paper

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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