Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
DISTRIBUTION OF RATIONAL POINTS ON HYPERELLIPTIC SURFACES
YASUO MORITAATSUSHI SATO
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1992 年 44 巻 3 号 p. 345-358

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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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