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We introduce arrangements of rational sections over curves. They generalizeline arrangements on P^2. Each arrangement of d sections defines a single curvein P^{d-2} through the Kapranov's construction of \overline{M}_{0,d+1}. We showa one-to-one correspondence between arrangements of d sections and irreduciblecurves in M_{0,d+1}, giving also correspondences for two distinguishedsubclasses: transversal and simple crossing. Then, we associate to eacharrangement A (and so to each irreducible curve in M_{0,d+1}) several familiesof nonsingular projective surfaces X of general type with Chern numbersasymptotically proportional to various log Chern numbers defined by A. Forexample, for extended families over the complex numbers, one has that any suchX is of positive index and \pi_1(X) = \pi_1(\overline{A}), where \overline{A}is the normalization of A. In this way, any rational curve in M_{0,d+1}produces simply connected surfaces with 2< c_1^2(X)/c_2(X) <3. Inequalitieslike these come from log Chern inequalities, which are in general connected togeometric height inequalities (see Appendix). Along the way, we show examplesof \'etale simply connected surfaces of general type in any characteristicviolating any sort of Miyaoka-Yau inequality.

Arrangements of rational sections over curves and the varieties they define