An example of a non-algebraizable singularity of a holomorphic foliation

Abstract

We say that the the germ of a singular holomorphic foliation on ${\mathbb{C}}^2,0)$ is algebraizable whenever it is holomorphically conjugate to the singularity of a foliation dened globally on a projective algebraic surface. e object of this work is to construct a concrete example of a non-algebraizable singularity. Previously only existential results were known [GT, CS].