Un théorème de Zariski du type de Lefschetz

Hamm, Helmut A.; Tráng, Lê Dũng

doi:10.24033/asens.1250

Cited by 165 publications

(100 citation statements)

References 15 publications

(10 reference statements)

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“…If V contains nonisolated singularities, to have an open book decomposition we also need property (b). In [7], Hamm and Lê proved a nontrivial fact that holomorphic functions have the Thom (a ) property along a certain stratification of V what guarantees property (b).…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

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Singular open book structures from real mappings

2013

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Section: Introduction and Main Resultsmentioning

confidence: 99%

“…This transversality is equivalent to condition (3) and by the proof of Theorem 1.3 we conclude the existence of the full tube fibration on all small enough spheres (9). This well-known observation may be traced back at least to [7]; see also [8,11].…”

Section: Condition (3) and Thom Regularity Conditionmentioning

confidence: 99%

Singular open book structures from real mappings

2013

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“…The remaining statements follow from an inductive application of the main result of Lê in [7]. [5], [7], and [15].…”

Section: If the Equivalent Conditions Above Hold Then For All J Sucmentioning

confidence: 99%

Lê modules and traces

Massey

2006

Proc. Amer. Math. Soc.

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Abstract. We show how some of our recent results clarify the relationship between the Lê numbers and the cohomology of the Milnor fiber of a nonisolated hypersurface singularity. The Lê numbers are actually the ranks of the free Abelian groups-the Lê modules-appearing in a complex whose cohomology is that of the Milnor fiber. Moreover, the Milnor monodromy acts on the Lê module complex, and we describe the traces of these monodromy actions in terms of the topology of the critical locus.

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“…We generalize the notion of correct critical points and Morse correct functions, defined for manifolds with boundary in [13], to the case of manifolds with corners. Then we relate the Euler characteristic of a manifold with corners to the indices of correct critical points.…”

mentioning

confidence: 99%