Finiteness of Mordell-Weil Groups of Kuga Fiber Spaces of Abelian Varieties
Masa-Hiko Saito
Kobe University, Japan
![Finiteness of Mordell-Weil Groups of Kuga Fiber Spaces of Abelian Varieties cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-29-issue-1.png&w=3840&q=90)
Abstract
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. 29–62
DOI 10.2977/PRIMS/1195167543