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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 : mardi 10 novembre 2020 - 17:14:04
Contributeur : Imb - Université de Bourgogne <>
Soumis le : mardi 9 avril 2019 - 17:18:41
Dernière modification le : mardi 10 novembre 2020 - 17:14:04
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