An Explicit Classification of Formal Groups over Local Fields
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and algebraic geometry, Tome 241 (2003), pp. 43-67
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An explicit classification of formal groups up to isogeny and isomorphism over rings of integers of local fields with the use of two new invariants is given.
[6] Breuil C., “Groupes $p$-divisibles, groupes finis et modules filtrés”, Ann. Math., 152:2 (2000), 489–549 | DOI | MR | Zbl
[7] Fontaine J. M., Groupes $p$-divisibles sur les corps locaux, Astérisque, 47, 48, Soc. Math. France, Paris, 1977 | MR
[8] Hazewinkel M., Formal groups and applications, Acad. Press, New York, 1978 | MR | Zbl
[9] Laffaille G., “Construction de groupes $p$-divisibles: Le cas de dimension $1$”, Astérisque, 65, 1979, 103–123 | MR | Zbl
[10] Oort F., “Dieudonne modules of finite local group schemes”, Indag. Math., 36 (1974), 284–292 | MR