Published: September 01, 1992Received: July 09, 1991Available on J-STAGE: May 22, 2009Accepted: October 23, 1991
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In this paper, we study distribution of rational points on a hyperelliptic surface defined over an algebraic number field, and show that this distribution is very similar to the distribution of rational points on an abelian surface. As an application, we show that a conjecture of Batyrev-Manin holds for such a surface.
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