Mordell-Weil Groups of Generic Abelian Varieties in the Unitary Case
Open Access
- 1 November 1988
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 104 (3) , 723-728
- https://doi.org/10.2307/2046781
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.Keywords
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