Mordell-Weil Groups of Generic Abelian Varieties in the Unitary Case

Alice Silverberg
1988 Proceedings of the American Mathematical Society  
The generic fibre of a fibre system of polarized abelian varieties with level structure, and with endomorphism structure coming from a CMfield, 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 o¡ generic abelian varieties, Invent. Math. 81 (1985), 71-106, to which
more » ... , 71-106, to which this paper is a sequel.
doi:10.2307/2046781 fatcat:wsw6inucsvbs7b7q5frgjk4pbi