On curves on formal groups
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- by Robert A. Morris and Bodo Pareigis PDF
- Trans. Amer. Math. Soc. 233 (1977), 309-319 Request permission
Abstract:
The structure of the group of curves on a formal group is determined when the formal group is on a truncated power series algebra over a commutative ring. The resulting curve functor is faithful but not full. Applications to the Lie algebra of the formal group are given.References
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P. Cartier, Hyperalgèbres et groupes de Lie formels, Séminaire “Sophus Lie” de la Faculté des Sciences de Paris, 1955-1956, Secrétariat Mathématique, Paris, 1957, 61 pp. MR 19, 431.
—, Modules associés à un groupe formel commutatif. Courbes typiques, C. R. Acad. Sci. Paris Sér. A-B 265 (1967), A129-A132. MR 36 # 1449.
—, Groupes formels associés aux anneaux de Witt généralisés, C. R. Acad. Sci. Paris Sér A-B 265 (1967), A49-A52. MR 36 # 1448.
- Michel Demazure, Lectures on $p$-divisible groups, Lecture Notes in Mathematics, Vol. 302, Springer-Verlag, Berlin-New York, 1972. MR 0344261, DOI 10.1007/BFb0060741
- E. J. Ditters, Curves and formal (co)groups, Invent. Math. 17 (1972), 1–20. MR 320013, DOI 10.1007/BF01390019 bis. —, Groupes formels, Univ. Paris XI, Orsay, Nos. 149-175, 42 cours 1973/74. P. Gabriel, Schémas en groupes. I (SGA 3) 1962/64, Lecture Notes in Math., vol. 151, Springer-Verlag, Berlin and New York, 1970.
- Michel Lazard, Commutative formal groups, Lecture Notes in Mathematics, Vol. 443, Springer-Verlag, Berlin-New York, 1975. MR 0393050, DOI 10.1007/BFb0070554
- Robert A. Morris and Bodo Pareigis, Formal groups over discrete rings, Bull. Amer. Math. Soc. 79 (1973), 449–453. MR 321937, DOI 10.1090/S0002-9904-1973-13210-0
- Robert A. Morris and Bodo Pareigis, Formal groups and Hopf algebras over discrete rings, Trans. Amer. Math. Soc. 197 (1974), 113–129. MR 366935, DOI 10.1090/S0002-9947-1974-0366935-2
- Frans Oort, Dieudonné modules of finite local group schemes, Nederl. Akad. Wetensch. Proc. Ser. A 77=Indag. Math. 36 (1974), 284–292 (French). MR 0354694, DOI 10.1016/1385-7258(74)90045-6
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 233 (1977), 309-319
- MSC: Primary 14L05
- DOI: https://doi.org/10.1090/S0002-9947-1977-0498613-6
- MathSciNet review: 0498613