Abstract
Let p > 2 be a rational prime and K/ℚp be an extension of complete discrete valuation fields. Let G be a truncated Barsotti-Tate group of level n, height h and dimension d over OK with 0 < d < h. In this paper, we show that if the Hodge height of G is less than 1/(pn-2(p + 1)), then there exists a finite flat closed subgroup scheme of G of order pnd over OK with standard properties as the canonical subgroup.
Original language | English |
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Pages (from-to) | 933-953 |
Number of pages | 21 |
Journal | Mathematische Zeitschrift |
Volume | 274 |
Issue number | 3-4 |
DOIs | |
Publication status | Published - Aug 2013 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)