  The aim of this paper is to explain the construction by H. Hironaka [H.61] of
a holomorphic (in fact "algebraic") family of compact complex manifolds
parametrized by $\C$ such for all $s \in \C\setminus \{0\}$ the fiber is
projective, but such that the fiber at the origin in non k{\"a}hlerian, to
mathematicians which are not algebraic geometers. We also explain why it is not
possible to make in the same way such an example with fiber at $0$ a simpler
example of non k{\"a}hlerian Moishezon manifold which is also due to H.
Hironaka (see section 5).
