Geodesic
Arithmetic variation of fibers in families of curves. Part I: Hurwitz monodromy criteria for rational points on all members of the familiy.
Journal für die reine und angewandte Mathematik, Tome 409 (1990), pp. 106-137.

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Mots-clés : rational points, families of covers of the projective line, moduli problem, Hurwitz monodromy group, Nielsen class, ramification locus, degrees of the rational divisors 
@article{JRAM_1990__409_153250,
     author = {Pierre Debes and Mike Fried},
     title = {Arithmetic variation of fibers in families of curves. {Part} {I:} {Hurwitz} monodromy criteria for rational points on all members of the familiy.},
     journal = {Journal f\"ur die reine und angewandte Mathematik},
     pages = {106--137},
     publisher = {mathdoc},
     volume = {409},
     year = {1990},
     zbl = {0699.14033},
     url = {http://geodesic.mathdoc.fr/item/JRAM_1990__409_153250/}
}
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Pierre Debes; Mike Fried. Arithmetic variation of fibers in families of curves. Part I: Hurwitz monodromy criteria for rational points on all members of the familiy.. Journal für die reine und angewandte Mathematik, Tome 409 (1990), pp. 106-137. http://geodesic.mathdoc.fr/item/JRAM_1990__409_153250/