%0 Journal Article %T On logarithmic extension of overconvergent isocrystals %A Atsushi Shiho %J Mathematics %D 2008 %I arXiv %X In this paper, we establish a criterion for an overconvergent isocrystal on a smooth variety over a field of characteristic $p>0$ to extend logarithmically to its smooth compactification whose complement is a strict normal crossing divisor. This is a generalization of a result of Kedlaya, who treated the case of unipotent monodromy. Our result is regarded as a $p$-adic analogue of the theory of canonical extension of regular singular integrable connections on smooth varieties of characteristic 0. %U http://arxiv.org/abs/0806.4394v2