Distribution of rational points on hyperelliptic surfaces

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概要

• 論文の詳細を見る

• 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.

• 東北大学の論文

著者

• Morita Yasuo

  Mathematical Institute Faculty Of Science Tohoku University

• Sato Atsushi

  Mathematical Institute, Faculty of Science, Tohoku University

• Sato Atsushi

  Mathematical Institute Faculty Of Science Tohoku University

関連論文

• Distribution of rational points on hyperelliptic surfaces
• Welcome to the Third Series of the Japanese Journal of Mathematics
• A Note on the Hilbert Irreducibility Theorem, the Irreducibility Theorem and the Strong Approximation Theorem
• Remarks on a conjecture of Batyrev and Manin
• Construction of Number Fields of Odd Degree with Class Numbers Divisible by Three, Five or by Seven

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