Estimates for Tamagawa numbers of diagonal cubic surfaces

DOI10.1016/j.jnt.2010.01.005zbMath1196.11089OpenAlexW2040463663WikidataQ125290465 ScholiaQ125290465MaRDI QIDQ982534

Andreas-Stephan Elsenhans, Jörg Jahnel

Publication date: 7 July 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.01.005

zbMATH Keywords

diagonal cubic surfacesPeyre's Tamagawa number

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over global fields (11G35) Heights (11G50) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20)

Related Items (1)

Height of rational points on random Fano hypersurfaces

Cites Work

• Some effective cases of the Brauer-Siegel theorem
• Lectures on automorphic \(L\)-functions
• Heights and Tamagawa measures on Fano varieties
• Effectivity of Brauer-Manin obstructions
• Tamagawa numbers of diagonal cubic surfaces, numerical evidence
• Rational points on some Fano cubic bundles
• Elementary Methods in Number Theory
• Number fields
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