Counting points on a toric variety

DOI10.1006/jnth.2000.2605zbMath1020.11045OpenAlexW2038820702MaRDI QIDQ5931324

Régis de la Bretèche

Publication date: 24 April 2001

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

Full work available at URL: https://doi.org/10.1006/jnth.2000.2605

zbMATH Keywords

rational pointsDel Pezzo surfaceheightstoric geometry

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Rational points (14G05) Heights (11G50)

Related Items (8)

Imaginary quadratic points on toric varieties via universal torsors ⋮ Hyperbola method on toric varieties ⋮ Partial sums of typical multiplicative functions over short moving intervals ⋮ Points of bounded height, adelic topology and Tamagawa measures. ⋮ Meromorphic continuation of multivariable Euler products ⋮ Height zeta functions ⋮ Produit eulérien motivique et courbes rationnelles sur les variétés toriques ⋮ Distribution of rational points on toric varieties: all the heights

Cites Work

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• Height zeta functions of toric bundles over flag varieties.
• Height zeta functions of toric varieties
• Heights and Tamagawa measures on Fano varieties
• Rational points of bounded height on Del Pezzo surfaces of degree six
• Introduction to Toric Varieties. (AM-131)
• Heights in number fields
• Tamagawa numbers of polarized algebraic varieties
• Manin's conjecture for toric varieties
• Rational points on some Fano cubic bundles

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