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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1975 Volume 39, Issue 6, Pages 1227–1239 (Mi im2088)

This article is cited in 4 papers

Lutz filtration of formal groups

M. I. Bashmakov, A. N. Kirillov


Abstract: In this paper we study the filtrations of formal groups that arise when studying elliptic curves over a local field. We characterize the fields obtained by dividing the points of a formal group by an isogeny. Our technique is then applied to describe the norm mapping in a $\Gamma$-extension of the ground field.
Bibliography: 10 titles.

UDC: 513.015.7

MSC: Primary 14L05; Secondary 14G20, 12B99

Received: 15.07.1974


 English version:
Mathematics of the USSR-Izvestiya, 1975, 9:6, 1155–1167

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© Steklov Math. Inst. of RAS, 2024