%0 Journal Article %A Pietro Corvaja %A Umberto Zannier %T Greatest common divisors of $u-1, v-1$ in positive characteristic and rational points on curves over finite fields %J Journal of the European Mathematical Society %D 2013 %P 1927-1942 %V 15 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/409/ %R 10.4171/jems/409 %F JEMS_2013_15_5_a11