Among other things, we show that Mordell–Weil groups of ﬁnitely many diﬀerent abelian ﬁbrations of a hyperkähler manifold have essentially no relation, as its birational transformation. Precise deﬁnition of the terms “essentially no relation” will be given in Introduction.
Cite this article
Keiji Oguiso, Mordell–Weil Groups of a Hyperk¨hler a Manifold—A Question of F. Campana. Publ. Res. Inst. Math. Sci. 44 (2008), no. 2, pp. 495–506DOI 10.2977/PRIMS/1210167335