Canonical Subgroups of Barsotti-tate Groups
نویسنده
چکیده
Let S be the spectrum of a complete discrete valuation ring with fraction field of characteristic 0 and perfect residue field of characteristic p ≥ 3. Let G be a truncated BarsottiTate group of level 1 over S. If “G is not too supersingular”, a condition that will be explicitly expressed in terms of the valuation of a certain determinant, we prove that we can canonically lift the kernel of the Frobenius endomorphism of its special fibre to a subgroup scheme of G, finite and flat over S. We call it the canonical subgroup of G.
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تاریخ انتشار 2006