Calabi-Yau Foliations and Deformations
Résumé
We propose in this article the study of the deformations of a Calabi-Yau type foliations F. For three different types of deformations (unfoldings, holomorphic, transversally holomorphic) there exist Kuranishi spaces K f , K h , K tr parametrizing the corresponding families of deformations. We show that K f is smooth, and that we can obtain K h as the product K f × K tr . At last, we show that we can see the f -deformations of F as the tr-deformations of a supplementary foliation G.
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
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