Mordell-Weil groups of a hyperkähler manifold - a question of F. Campana

2006/10/16 by Keiji Oguiso, Oguiso, Keiji
Mathematics · #14J28 #14J50 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J28 #msc:14J50

paper · pdf · doi:10.48550/arxiv.math/0610472

9pages

arxiv created 2006/10/16 · arxiv updated 2009/12/01

Abstract

Mordell-Weil groups of different abelian fibrations of a hyperkähler manifold may have non-trivial relation even among elements of infinite order, but have essentially no relation, as its birational transformation. Precise definition of the terms "essentially no relation" will be given in Introduction.

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