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

2018/07/03 by Thom, Olivier
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.01046

Abstract

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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