In this paper, we will study Mordell-Weil groups of Kuga fiber spaces of abelian varieties associated to the standard symplectic representation classified by Satake. We will show the finiteness theorem for them with a few exceptions by using the Hodge theory and Borel-Wallach's vanishing theorem.
Cite this article
Masa-Hiko Saito, Finiteness of Mordell-Weil Groups of Kuga Fiber Spaces of Abelian Varieties. Publ. Res. Inst. Math. Sci. 29 (1993), no. 1, pp. 29–62DOI 10.2977/PRIMS/1195167543