HIGHER-LEVEL CANONICAL SUBGROUPS FOR p-DIVISIBLE GROUPS
نویسنده
چکیده
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 G ⊗R K with geometric structure (Z/pZ) 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, which is analogous to a result of Katz and Lubin for elliptic curves.
منابع مشابه
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تاریخ انتشار 2009