A remark on kernels of reduction
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- by Robert F. Coleman PDF
- Proc. Amer. Math. Soc. 104 (1988), 699-701 Request permission
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 ${\mathbf {\bar Q}}$.References
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- Yu. G. Zarhin, A finiteness theorem for unpolarized abelian varieties over number fields with prescribed places of bad reduction, Invent. Math. 79 (1985), no. 2, 309–321. MR 778130, DOI 10.1007/BF01388976
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 699-701
- MSC: Primary 11G10; Secondary 14K15
- DOI: https://doi.org/10.1090/S0002-9939-1988-0964845-6
- MathSciNet review: 964845