2022-01-27T22:35:45Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000400792021-03-02T02:37:25ZTame-blind extension of morphisms of truncated Barsotti-Tate group schemesHoshi, Yuichiro92541415The purpose of the present paper is to show that morphisms between the generic fibers of truncated Barsotti-Tate group schemes over mixed characteristic complete discrete valuation rings extend in a “tame-blind” fashion — i.e., under a condition which is unaffected by passing to a tame extension — to morphisms between the original truncated Barsotti-Tate group schemes. The “tameblindness” of our extension result allows one to verify the analogue of the result of Tate for isogenies of Barsotti-Tate groups over the ring of integers of the p-adic completion of the maximal tamely ramified extension.departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo2009-06-30application/pdfJournal of mathematical sciences, the University of Tokyo1162354AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/40079/files/jms160102.pdfeng