On quasi-local ``class fields'' of elliptic curves.~I
Izvestiya. Mathematics , Tome 10 (1976) no. 5, pp. 913-936
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In this paper, we consider those elliptic curves defined over a quasi-local field with all finite Galois cohomology finite. The main result is the extension, with preservation of nondegeneracy of Shafarevich–Ogg pairing for curves of the given class, to the components of the paired groups corresponding to the characteristic of the residue field.
Bibliography: 32 titles.
@article{IM2_1976_10_5_a1,
author = {O. N. Vvedenskii},
title = {On quasi-local ``class fields'' of elliptic {curves.~I}},
journal = {Izvestiya. Mathematics },
pages = {913--936},
publisher = {mathdoc},
volume = {10},
number = {5},
year = {1976},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1976_10_5_a1/}
}
O. N. Vvedenskii. On quasi-local ``class fields'' of elliptic curves.~I. Izvestiya. Mathematics , Tome 10 (1976) no. 5, pp. 913-936. http://geodesic.mathdoc.fr/item/IM2_1976_10_5_a1/