Abstract : We consider foliations given by deformations dF + epsilon omega of exact forms dF in C-2 in a neighborhood of a family of cycles -gamma(t) subset of F-1(t).In 1996 Francoise gave an algorithm for calculating the first nonzero term of the displacement function Delta along gamma of such deformations. This algorithm recalls the well-known Godbillon-Vey sequences discovered in 1971 for investigation of integrability of a form omega. In this paper, we establish the correspondence between the two approaches and translate some results by Casale relating types of integrability for finite Godbillon-Vey sequences to the Francoise algorithm settings.
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-02094588 Contributeur : Accord Elsevier CCSDConnectez-vous pour contacter le contributeur Soumis le : vendredi 22 octobre 2021 - 07:45:59 Dernière modification le : mercredi 3 novembre 2021 - 07:58:29 Archivage à long terme le : : dimanche 23 janvier 2022 - 18:24:05