Mordell-Weil groups of generic abelian varieties in the unitary case
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- by Alice Silverberg PDF
- Proc. Amer. Math. Soc. 104 (1988), 723-728 Request permission
Abstract:
The generic fibre of a fibre system of polarized abelian varieties with level structure, and with endomorphism structure coming from a CM-field, is defined over the function field of the moduli space for the abelian varieties. We prove that the points on this generic abelian variety which are defined over the function field of the moduli space form a finite group. The methods of proof generalize those of Mordell- Weil groups of generic abelian varieties, Invent. Math. 81 (1985), 71-106, to which this paper is a sequel.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 723-728
- MSC: Primary 14K10; Secondary 11G10, 11G15, 14D05, 14K22
- DOI: https://doi.org/10.1090/S0002-9939-1988-0929425-7
- MathSciNet review: 929425