A supplement to the Iomdin-Lê theorem for singularities with one-dimensional singular locus

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Title

Authors ¹

Département de Mathéematiques, Université d'Angers, 2, bd. Lavoisier, 49045 Angers Cedex 01, France

To a germ

f : (ℂ^{n}, 0) \to (ℂ, 0)

with one-dimensional singular locus one associates series of isolated singularities

f_{N} := f + l^{N}

, where l is a general linear function and

N \in

. We prove an attaching result of Iomdin-Lê type which compares the homotopy types of the Milnor fibres of

f_{N}

and f. This is a refinement of the Iomdin-Lê theorem in the general setting of a singular underlying space.

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