Canonical subgroups of formal groups

Lubin, Jonathan

doi:10.1090/S0002-9947-1979-0531971-4

Canonical subgroups of formal groups

Author: Jonathan Lubin
Journal: Trans. Amer. Math. Soc. 251 (1979), 103-127
MSC: Primary 14L05
DOI: https://doi.org/10.1090/S0002-9947-1979-0531971-4
MathSciNet review: 531971
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Abstract: Let R be a complete local domain of mixed characteristic. This paper gives a complete answer to the question: ``If F is a one-dimensional formal group over R of finite height, when is there a canonical morphism $F \to {F'}$ that lifts Frobenius?'' For given height h, a universal family of formal groups F with such a morphism is constructed, and the shape of is described for small values of h.

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