are supposed to produce different fibrations; we remark that if $F$ is a submersion over $\Pp^1$ and $T$ is a Moebius transformation, then $F$ and $T\circ F$ induce the same fibration.

The fibers of a submersion define a regular foliation in a neighborhood of $C$, which is generically transverse to $C$ with tangency points at the critical points of the restriction to the curve; the submersion is a meromorphic first integral for the foliation. The converse does not hold, that is, this type of foliation may not have a first integral, see [@MEZ].

We mention that the study of neighborhoods of curves has already been pursued when the self-intersection is not positive as we can see in [@GRA], [@SAV] and [@UE].

This paper is organized as follows: Section \[sec-examples\] presents some examples and it is followed by Section \[sec-const-mer-maps\] where we discuss how to built meromophic maps starting from two different pencil submersions. This allows (Section \[sec-new-foliation\]) to show the existence of foliations defined in a neighborhood of the curve which have this curve as an invariant set, and finally in Section \[sec-proof-thm\] we prove our theorem.

Examples {#sec-examples}
========

This Section has two parts. In the first part we 