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Mathematics > Algebraic Geometry

arXiv:1807.01046 (math)
[Submitted on 3 Jul 2018 (v1), last revised 14 Sep 2018 (this version, v2)]

Title:Formal classication of two-dimensional neighborhoods of genus g $\ge$ 2 curves with trivial normal bundle

Authors:Olivier Thom
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Abstract:In this paper we study the formal classication of two-dimensional neighborhoods of genus g $\ge$ 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.
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)
Cite as: arXiv:1807.01046 [math.AG]
  (or arXiv:1807.01046v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.01046

Submission history

From: Olivier Thom [view email] [via CCSD proxy]
[v1] Tue, 3 Jul 2018 09:35:26 UTC (229 KB)
[v2] Fri, 14 Sep 2018 08:54:23 UTC (245 KB)
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