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This article is cited in 19 scientific papers (total in 19 papers)
Points of finite order on an Abelian variety
F. A. Bogomolov
Abstract:
In this paper it is shown that the image of the Galois group under an $l$-adic representation in the Tate module of an Abelian variety has an algebraic Lie algebra which contains the scalar matrices as a subalgebra (Serre's conjecture). This paper also proves the finiteness of the intersection of a subgroup of an Abelian variety all of whose elements have order equal to a power of a fixed number with a wide class of subvarieties.
Bibliography: 13 titles.
Received: 22.01.1980
Citation:
F. A. Bogomolov, “Points of finite order on an Abelian variety”, Math. USSR-Izv., 17:1 (1981), 55–72
Linking options:
https://www.mathnet.ru/eng/im1843https://doi.org/10.1070/IM1981v017n01ABEH001329 https://www.mathnet.ru/eng/im/v44/i4/p782
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Abstract page: | 650 | Russian version PDF: | 228 | English version PDF: | 42 | References: | 43 | First page: | 2 |
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