Distinguished isogenies for formal groups in local fields with small ramification

被引:0
作者
Vostokov S.V. [1 ]
Bekker B.M. [1 ]
机构
[1] St.Petersburg State University, St.Petersburg
基金
俄罗斯基础研究基金会;
关键词
Formal Group; Canonical Form; Local Field; Residue Field; Congruence Modulo;
D O I
10.1007/s10958-007-0005-9
中图分类号
学科分类号
摘要
The existence of distinguished isogenies is proved for formal groups defined over the ring of integers of a local field with ramification index less than the characteristic of the residue field. This generalizes the result of Demchenko for Honda formal groups. Bibliography: 4 titles. © Springer Science+Business Media, Inc. 2007.
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页码:655 / 659
页数:4
相关论文
共 4 条
[1]  
Vostokov S.V., Demchenko O.V., Explicit formula for the Hilbert pairing for formal Honda groups, Zap. Nauchn. Semin. POMI, 272, pp. 86-128, (2000)
[2]  
Demchenko O.V., New relations between the Lubin-Tate and Honda formal groups, Algebra Analiz, 10, 5, pp. 77-84, (1998)
[3]  
Bondarko M.V., Vostokov S.V., Explicit classification of formal groups over local fields, Trudy MIAN, 241, 2, pp. 43-67, (2003)
[4]  
Hazewinkel M., Formal Groups and Applications, (1978)