Modification of the Fontaine--Laffaille functor
Izvestiya. Mathematics , Tome 34 (1990) no. 3, pp. 467-516
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The paper, gives an explicit construction of a fully faithful functor from the category of finite filtered Dieudonné modules into the category of Galois modules of the algebraic closure of a local field of characteristic zero with a filtration in the case of objects that are annihilated under multiplication by a uniformizing element. With the help of this construction, we give a modification of the Fontaine–Laffaille functor that is fully faithful on the whole category of finite filtered Dieudonné modules.
Bibliography: 13 titles.
@article{IM2_1990_34_3_a0,
author = {V. A. Abrashkin},
title = {Modification of the {Fontaine--Laffaille} functor},
journal = {Izvestiya. Mathematics },
pages = {467--516},
publisher = {mathdoc},
volume = {34},
number = {3},
year = {1990},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1990_34_3_a0/}
}
V. A. Abrashkin. Modification of the Fontaine--Laffaille functor. Izvestiya. Mathematics , Tome 34 (1990) no. 3, pp. 467-516. http://geodesic.mathdoc.fr/item/IM2_1990_34_3_a0/