caa a22 4500 445836903 CHVBK 20180317145332.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00209-010-0716-3 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0716-3 Shiho Atsushi Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, 153-8914, Tokyo, Japan aut Cut-by-curves criterion for the log extendability of overconvergent isocrystals [Elektronische Daten] [Atsushi Shiho] In this paper, we prove a ‘cut-by-curves 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 simple normal crossing divisor, under certain assumption. This is a p-adic analogue of a version of cut-by-curves criterion for regular singularity of an integrable connection on a smooth variety over a field of characteristic 0. In the course of the proof, we also prove a kind of cut-by-curves criteria on solvability, highest ramification break and exponent of ∇-modules. Springer-Verlag, 2010 Overconvergent isocrystal nationallicence Solvability nationallicence Highest ramification break nationallicence Exponent nationallicence Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 59-82 0025-5874 269:1-2<59 2011 269 209 https://doi.org/10.1007/s00209-010-0716-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0716-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shiho Atsushi Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, 153-8914, Tokyo, Japan aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 59-82 0025-5874 269:1-2<59 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer