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- W2116580562 abstract "Let R be a complete rank-1 valuation ring of mixed characteristic (0,p), and let K be its field of fractions. A g-dimensional truncated Barsotti-Tate group G of level n over R is said to have a level-n canonical subgroup if there is a K-subgroup of Gtensor_R K with geometric structure (Z/p^nZ)^g consisting of points closest to zero. We give a nontrivial condition on the Hasse invariant of G that guarantees the existence of the canonical subgroup, analogous to a result of Katz and Lubin for elliptic curves. The bound is independent of the height and dimension of G." @default.
- W2116580562 created "2016-06-24" @default.
- W2116580562 creator A5081312951 @default.
- W2116580562 date "2009-10-17" @default.
- W2116580562 modified "2023-09-23" @default.
- W2116580562 title "Higher-level canonical subgroups for p-divisible groups" @default.
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