Inhomogeneous cubic congruences and rational points on del Pezzo surfaces

DOI10.1515/crelle.2012.039zbMath1295.11058arXiv1011.3434OpenAlexW2963654805MaRDI QIDQ2842806

Stephan Baier, Timothy D. Browning

Publication date: 16 August 2013

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3434

zbMATH Keywords

exponential sumsdel Pezzo surfaceelliptic curverational pointuniversal torsorcubic congruences

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Counting solutions of Diophantine equations (11D45) Finite ground fields in algebraic geometry (14G15) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Modular and Shimura varieties (14G35) Global ground fields in algebraic geometry (14G25) Special surfaces (14J25)

Related Items (5)

Imaginary quadratic points on toric varieties via universal torsors ⋮ Inhomogeneous quadratic congruences ⋮ Manin's conjecture for certain spherical threefolds ⋮ Elliptic curves with square-free Δ ⋮ A statistical view on the conjecture of Lang about the canonical height on elliptic curves

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