We study germs of holomorphic mappings between general algebraic hypersurfaces. Our main result is the following. If $(M,p_0)$ and $(M^{\text{'}},p_0^{\text{'}})$ are two germs of real algebraic hypersurfaces in ${ℂ}^{N+1}$, $N\ge 1$, $M$ is not Levi-flat and $H$ is a germ at $p_0$ of a holomorphic mapping such that $H\left(M\right)\subseteq M^{\text{'}}$ and $\mathrm{Jac}\left(H\right)\not\equiv 0$ then the so-called reflection function associated to $H$ is always holomorphic algebraic. As a consequence, we obtain that if $M^{\text{'}}$ is given in the so-called normal form, the transversal component of $H$ is always algebraic. Another corollary of...

We study the pluripolar hulls of analytic sets. In particular, we show that hulls of graphs of analytic functions can be multiple sheeted and sheets can be separated by a set of zero dimension.