Remarks on a conjecture of Batyrev and Manin

DOI10.2748/tmj/1178225115zbMath0927.14014OpenAlexW2037133666WikidataQ123141677 ScholiaQ123141677MaRDI QIDQ1384455

Yasuo Morita

Publication date: 18 November 1999

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225115

zbMATH Keywords

Dirichlet seriesample line bundleNéron-Severi group

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Varieties over global fields (11G35) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Global ground fields in algebraic geometry (14G25)

Cites Work

• Finiteness theorems for abelian varieties over number fields.
• Rational points of bounded height on Fano varieties
• On the number of rational points of bounded height on algebraic varieties
• Distribution of rational points on hyperelliptic surfaces
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• Quasi-functions and heights on abelian varieties
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