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Cycles évanescents d’une fonction de Liouville de type f 1 λ 1 . . . f p λ p

Emmanuel Paul (1995)

Annales de l'institut Fourier

On construit un transport transverse aux fibres d’une fonction multivaluée de type f 1 λ 1 ... f p λ p ( λ i complexes), à l’origine de 2 . Ce transport est unique à isotopie près. On en déduit l’existence de voisinages réguliers dans lesquels les fibres sont toutes C difféomorphes (voire dans un cas quasi-homogène, analytiquement difféomorphes). On obtient également une généralisation de la notion de monodromie. On calcule enfin l’homologie évanescente de la fibre-type, en précisant le gradué qui lui est associé.

Cycles on algebraic models of smooth manifolds

Wojciech Kucharz (2009)

Journal of the European Mathematical Society

Every compact smooth manifold M is diffeomorphic to a nonsingular real algebraic set, called an algebraic model of M . We study modulo 2 homology classes represented by algebraic subsets of X , as X runs through the class of all algebraic models of M . Our main result concerns the case where M is a spin manifold.

Cyclic coverings of Fano threefolds

Sławomir Cynk (2003)

Annales Polonici Mathematici

We describe a series of Calabi-Yau manifolds which are cyclic coverings of a Fano 3-fold branched along a smooth divisor. For all the examples we compute the Euler characteristic and the Hodge numbers. All examples have small Picard number ϱ = h 1 , 1 .

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