  We show a weak form of the function field version of Oesterle's abc
conjecture. It asserts that, if $B$ is a complex projective connected curve,
the number of intersection points, counted without multiplicities, of a fixed
divisor $D$ of degree $d>0$ over $B$ with the graph $H$ of a section $h:B\to
B\times \bP^1$ to the first projection is at least $(d-2)n-C(B,D)$, where $n$
is the degree of $H$ over $\bP^1$, and $C(D,B)$ a constant depending only on
these two data. We show this number is at least $(d-2[\sqrt {d}]).n-C(D,B)$.
The constant is ineffective.
