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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Canonical subgroups of formal groups
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by Jonathan Lubin PDF
Trans. Amer. Math. Soc. 251 (1979), 103-127 Request permission

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 ${F’}$ is described for small values of h.
References
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • 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