Counting imaginary quadratic points via universal torsors, II

DOI10.1017/S0305004113000728zbMath1292.14017arXiv1304.3352OpenAlexW3099231883MaRDI QIDQ5415159

Christopher Frei, Ulrich Derenthal

Publication date: 12 May 2014

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3352

zbMATH Keywords

del Pezzo surfaceimaginary quadratic fielduniversal torsorssingularity typeManin conjecturedegree 4

Mathematics Subject Classification ID

Rational points (14G05) Counting solutions of Diophantine equations (11D45) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Cubic and quartic Diophantine equations (11D25)

Related Items (4)

Imaginary quadratic points on toric varieties via universal torsors ⋮ Counting imaginary quadratic points via universal torsors ⋮ Rational points of bounded height and the Weil restriction ⋮ The split torsor method for Manin’s conjecture

Cites Work

• Rational points of bounded height on Fano varieties
• On the number of rational points of bounded height on algebraic varieties
• On the distribution of points of bounded height on equivariant compactifications of vector groups.
• Heights and Tamagawa measures on Fano varieties
• Manin's conjecture for a quartic del Pezzo surface with \(A_{4}\) singularity
• On Manin's conjecture for singular del Pezzo surfaces of degree 4. I
• Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups
• Rational Points of Bounded Height on Compactifications of Anisotropic Tori

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