Relative Lubin-Tate groups
HTML articles powered by AMS MathViewer
- by Ehud de Shalit PDF
- Proc. Amer. Math. Soc. 95 (1985), 1-4 Request permission
Abstract:
We construct a class of formal groups that generalizes Lubin-Tate groups. We formulate the major properties of these groups and indicate their relation to local class field theory.References
- Robert F. Coleman, Division values in local fields, Invent. Math. 53 (1979), no. 2, 91–116. MR 560409, DOI 10.1007/BF01390028
- Taira Honda, Formal groups and zeta-functions, Osaka Math. J. 5 (1968), 199–213. MR 249438
- Kenkichi Iwasawa, Local class field theory, Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1986. Oxford Mathematical Monographs. MR 863740
- Jonathan Lubin and John Tate, Formal complex multiplication in local fields, Ann. of Math. (2) 81 (1965), 380–387. MR 172878, DOI 10.2307/1970622
- J.-P. Serre, Local class field theory, Algebraic Number Theory (Proc. Instructional Conf., Brighton, 1965), Thompson, Washington, D.C., 1967, pp. 128–161. MR 0220701
- John T. Tate, The arithmetic of elliptic curves, Invent. Math. 23 (1974), 179–206. MR 419359, DOI 10.1007/BF01389745
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 1-4
- MSC: Primary 11S31; Secondary 11G05, 14L05
- DOI: https://doi.org/10.1090/S0002-9939-1985-0796434-8
- MathSciNet review: 796434