a conic $C_0$ in the plane (which has of course self intersection number equal to 4), the ramified map induced by any local submersion is of even degree.

A more refined question would be: can we obtain an embedding once it is assumed the existence of three local submersions in a neighborhood of $C$ whose restrictions to $C$ are meromorphic maps of degree (a multiple of) $d$? We give a partial negative answer in Section \[sec-examples\].

We introduce then an extra condition (also a necessary one). A curve $C$ that has an embedding $\phi:C \rightarrow C_0\subset \mathbb P^2$ carries naturally a special set of meromorphic maps ${\bf G}_{\phi}$ =$\{G_{|_{C_0}}\circ {\phi},\,\, G \,\,\,pencil\, submersion\}$. A set $\{F_i\}$ of submersions defined in a neighborhood of $C$ whose restrictions to $C$ have no common critical points is [**projective at C**]{} if ${F_i}_{|_C}\in {\bf G}_{\phi}$. The submersions are called [**independet**]{} if the singularities of the correspondent pencils on $\Pp^2$ are not aligned. We may state then our main result:

\[main-thm\] The existence of a projective triple of independent submersions at $C$ implies the existence of an embedding of a neighborhood of $C$ into the projective plane.

The submersions in the statement of the Theorem 