Fonction zêta des hauteurs des surfaces de Hirzebruch dans le cas fonctionnel. (The height zeta-function of a Hirzebruch surface over a function field)

DOI10.1006/jnth.2001.2739zbMath1006.11032OpenAlexW2003034259MaRDI QIDQ700201

David Bourqui

Publication date: 30 September 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2739

zbMATH Keywords

function fieldsHirzebruch surfaceheight zeta-functionManin's conjecture on rational points

Mathematics Subject Classification ID

Rational points (14G05) Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Global ground fields in algebraic geometry (14G25)

Related Items (4)

Points of bounded height, adelic topology and Tamagawa measures. ⋮ Fonction zêta des hauteurs des variétés toriques non déployées ⋮ Produit eulérien motivique et courbes rationnelles sur les variétés toriques ⋮ Motivic Euler Products and Motivic Height Zeta Functions

Cites Work

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• Rational points of bounded height on Fano varieties
• Heights and Tamagawa measures on Fano varieties
• Heights in number fields
• Manin's conjecture for toric varieties
• Rational Points of Bounded Height on Compactifications of Anisotropic Tori
• Rational points on some Fano cubic bundles

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