@article{AIF_2013__63_4_1427_0, author = {Lepage, Emmanuel}, title = {Covers in $p$-adic analytic geometry and log covers {I:} {Cospecialization} of the $(p^{\prime})$-tempered fundamental group for a family of curves}, journal = {Annales de l'Institut Fourier}, pages = {1427--1467}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {63}, number = {4}, year = {2013}, doi = {10.5802/aif.2807}, zbl = {06359593}, mrnumber = {3137359}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.2807/} }