4 papers
About foliations by holomorphic curves on complex surfaces
Olivier Thom
We study those real foliations in complex surfaces whose leaves are holomorphic curves. The main motivation is to try and understand these foliations in neighb…
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…
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…
Pairs of Morse functions
Olivier Thom
The goal of this paper is to classify pairs of Morse functions in general position modulo the action of different groups.In particular, we obtain the classification of generic pair…