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

Abstract

Abstract. We say that the the germ of a singular holomorphic foliation on (C 2 , 0) is algebraizable whenever it is holomorphically conjugate to the singularity of a foliation defined globally on a projective algebraic surface. The object of this work is to construct a concrete example of a non-algebraizable singularity. Previously only existential results were known [GT10].