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math.AG2019
On the formal principle for curves on projective surfaces
Jorge Vitório Pereira, Olivier Thom
We prove that the formal completion of a complex projective surface along a rigid smooth curve with trivial normal bundle determines the birational equivalence class of the surface…
math.AG2018
Formal classication of two-dimensional neighborhoods of genus g 2 curves with trivial normal bundle
Olivier Thom
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 n…