Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
REMARKS ON A CONJECTURE OF BATYREV AND MANIN
YASUO MORITA
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1997 年 49 巻 3 号 p. 437-448

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We give several remarks on a conjecture of Batyrev and Manin on the distribution of rational points on algebraic varieties. We study the signature of the geometric invariant of Batyrev-Manin in relation to the value of the Kodaira dimension, and study the validity of the Batyrev-Manin conjecture under the assumption that there exists an unramified covering for which the Batyrev-Manin conjecture holds.
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