In this paper, an explicit classification of formal A-modules over the ring of integers of a local field up to a strict isomorphism is obtained in the case of small ramification. Canonical representatives in each class of isomorphic formal A-modules are described. These results generalize the classification of ℤ p -modules in small ramification.
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V. V. Bondarko and S. V. Vostokov, “Explicit classification of formal groups over local fields,” in: Number Theory, Algebra, and Algebraic Geometry, Collection of papers dedicated to the 80th birthday of Academican I. R. Shafarevich, Nauka, Moscow (2003), pp. 43–67.
M. Hazewinkel, Formal Groups and Applications, Acad. Press, New York (1978).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 430, 2014, pp. 5–12.
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Afanas’eva, S.S., Vostokov, S.V. Classification of Formal A-Modules in the Case of Small Ramification. J Math Sci 219, 337–342 (2016). https://doi.org/10.1007/s10958-016-3108-3
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DOI: https://doi.org/10.1007/s10958-016-3108-3