Math @ Duke

Publications [#345773] of Joseph D Rabinoff
Papers Published
 Rabinoff, J, Higherlevel canonical subgroups for pdivisible groups,
Journal of the Institute of Mathematics of Jussieu, vol. 11 no. 2
(April, 2012),
pp. 363419 [doi]
(last updated on 2021/08/04)
Abstract: Let R be a complete rank1 valuation ring of mixed characteristic (0, p), and let K be its field of fractions. A gdimensional truncated BarsottiTate group G of level n over R is said to have a leveln canonical subgroup if there is a Ksubgroup of G ⊗  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. © Cambridge University Press 2011.


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