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Topologie des fonctions régulières et cycles évanescents.

Thomas Brélivet (2003)

Revista Matemática Complutense

One has two notions of vanishing cycles: the Deligne's general notion and a concrete one used recently in the study of polynomial functions. We compare these two notions which gives us in particular a relative connectivity result. We finish with an example of vanishing cycle calculation which shows the difficulty of a good choice of compactification.

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