 |
 |
Article dans une revue
Godbillon–Vey sequence and Françoise algorithm
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 : Imb - Université de Bourgogne <>
Soumis le : mardi 9 avril 2019 - 17:18:41
Dernière modification le : lundi 6 janvier 2020 - 11:49:14
Contributeur : Imb - Université de Bourgogne <>
Soumis le : mardi 9 avril 2019 - 17:18:41
Dernière modification le : lundi 6 janvier 2020 - 11:49:14
Lien texte intégral
