The 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.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
16
号
1
ページ
23 - 54
発行年
2009-06-30
ISSN
13405705
書誌レコードID
AA11021653
日本十進分類法
415
Mathematical Reviews Number
MR
Mathmatical Subject Classification
14L15(MSC2000)
11S15(MSC2000)
14L05(MSC2000)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
Tame-blind extension of morphisms of truncated Barsotti-Tate group schemes
jms160102.pdf
(284.63KB)
