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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 338, Pages 125–136 (Mi znsl168)

This article is cited in 2 papers

Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification

S. V. Vostokova, A. N. Zinovievb

a Saint-Petersburg State University
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: In this paper for a one-dimensional formal group over the ring of integers of a local field in the case of small ramification, we study arithmetic of the module of roots of the isogeny as well as arithmetic of the formal module constructed on the maximal ideal of a local field containing all the roots of the isogeny.

UDC: 512.5

Received: 01.12.2006


 English version:
Journal of Mathematical Sciences (New York), 2007, 145:1, 4765–4772

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© Steklov Math. Inst. of RAS, 2024