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Article Dans Une Revue Annales de l'Institut Fourier Année : 2020

Formal classication of two-dimensional neighborhoods of genus g ≥ 2 curves with trivial normal bundle

Olivier Thom
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Résumé

In this paper we study the formal classication of two-dimensional neighborhoods of genus g ≥ 2 curves with trivial normal bundle. We first construct formal foliations on such neighborhoods with holonomy vanishing along many loops, then give the formal/analytic classication of neighborhoods equipped with two foliations, and finally put this together to obtain a description of the space of neighborhoods up to formal equivalence.
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Dates et versions

hal-01828065 , version 1 (03-07-2018)
hal-01828065 , version 2 (11-09-2018)

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Olivier Thom. Formal classication of two-dimensional neighborhoods of genus g ≥ 2 curves with trivial normal bundle. Annales de l'Institut Fourier, 2020, 70 (5), pp.1825-1846. ⟨hal-01828065v2⟩
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