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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A remark on kernels of reduction


Author: Robert F. Coleman
Journal: Proc. Amer. Math. Soc. 104 (1988), 699-701
MSC: Primary 11G10; Secondary 14K15
MathSciNet review: 964845
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Abstract: We show the group of torsion points on an Abelian variety defined over an algebraic closure of the rationals, $ {\mathbf{\bar Q}}$ is generated by the kernels of reduction of all the primes of $ {\mathbf{\bar Q}}$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0964845-6
PII: S 0002-9939(1988)0964845-6
Article copyright: © Copyright 1988 American Mathematical Society