2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126831We 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.withdrawn.Conjecture already known by results of McQuillan and K. YamanoiNumber TheoryAlgebraic Geometry14C17,14G05,14H05,14J26text