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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2014 Volume 430, Pages 5–12 (Mi znsl6078)

This article is cited in 1 paper

Classification of formal $A$-modules in the case of small ramification

S. S. Afanas'eva, S. V. Vostokov

St. Petersburg State University, St. Petersburg, Russia

Abstract: In this paper an explicit classification of formal $A$-modules over the ring of integer of local field up to the strict isomorphism in the case of small ramification is obtained. The canonic representatives in each class of isomorphic formal $A$-modules are described. This results generalizes the classification of $\mathbb Z_p$-modules in small ramification.

Key words and phrases: formal groups, formal modules, multidimensional formal groups.

UDC: 512.741

Received: 10.09.2014


 English version:
Journal of Mathematical Sciences (New York), 2016, 219:3, 337–342

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