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

100%

Tibăr M.

Banach Center Publications

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1996

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tom 33

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nr 1

411-419

EN

To a germ $f: (ℂ^n,0) → (ℂ,0)$ with one-dimensional singular locus one associates series of isolated singularities $f_N := f + l^N$, where l is a general linear function and $N ∈ 𝔹$. 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.

2

Contact boundaries of hypersurface singularities and of complex polynomials

63%

Caubel C., Tibăr M.

Banach Center Publications

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2003

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tom 62

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nr 1

29-37

EN

We survey some recent results concerning the behavior of the contact structure defined on the boundary of a complex isolated hypersurface singularity or on the boundary at infinity of a complex polynomial.

3

Singular open book structures from real mappings

51%

Araújo dos Santos R., Chen Y., Tibăr M.

Open Mathematics

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2013

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tom 11

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nr 5

817-828

EN

We define open book structures with singular bindings. Starting with an extension of Milnor’s results on local fibrations for germs with nonisolated singularity, we find classes of genuine real analytic mappings which yield such open book structures.

Ograniczanie wyników

2 Banach Center Publications

1 Open Mathematics

3 Tibăr M.

1 Araújo dos Santos R.

1 Caubel C.

1 Chen Y.

1 2013

1 2003

1 1996

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

Contact boundaries of hypersurface singularities and of complex polynomials

Singular open book structures from real mappings