Classification of formal $A$-modules in the case of small ramification
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 27, Tome 430 (2014), pp. 5-12
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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.
@article{ZNSL_2014_430_a0,
author = {S. S. Afanas'eva and S. V. Vostokov},
title = {Classification of formal $A$-modules in the case of small ramification},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {5--12},
publisher = {mathdoc},
volume = {430},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_430_a0/}
}
TY - JOUR AU - S. S. Afanas'eva AU - S. V. Vostokov TI - Classification of formal $A$-modules in the case of small ramification JO - Zapiski Nauchnykh Seminarov POMI PY - 2014 SP - 5 EP - 12 VL - 430 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2014_430_a0/ LA - ru ID - ZNSL_2014_430_a0 ER -
S. S. Afanas'eva; S. V. Vostokov. Classification of formal $A$-modules in the case of small ramification. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 27, Tome 430 (2014), pp. 5-12. http://geodesic.mathdoc.fr/item/ZNSL_2014_430_a0/