  The main goal of this paper is the analytic classification of the germs of
singular foliations generated, up to an analytic change of coordinates, by the
germs of vector fields of form the
$x\partial_x+\sum_{i=1}^{n}a_i(x,\mathbf{z})\partial_{z_i}$, where
$a_i(x,\mathbf{z})$ is a germ of analytic function with $a_i(x,0)=0$. We focus
on the connection with the conjugation of the holonomies related to them. We
prove, under some hypothesis, that these germs of singular foliations are
analytically classified once their local holonomy along a given separatrix are
analytically conjugated.
