JournalsprimsVol. 29, No. 1pp. 29–62

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
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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