The Manin conjecture for \(x_0y_0+\dots+x_sy_s=0\)

DOI10.1016/j.jnt.2008.10.005zbMath1171.11054OpenAlexW2066202799WikidataQ122874851 ScholiaQ122874851MaRDI QIDQ1019853

Craig V. Spencer

Publication date: 28 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.10.005

zbMATH Keywords

Manin's conjecturecircle methodflag variety

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Varieties over global fields (11G35) Diophantine equations in many variables (11D72)

Related Items (6)

Counting rational points on biquadratic hypersurfaces ⋮ Counting rational points on biprojective hypersurfaces of bidegree \((1,2)\) ⋮ RATIONAL POINTS ON THE INNER PRODUCT CONE VIA THE HYPERBOLA METHOD ⋮ Counting in hyperbolic spikes: The Diophantine analysis of multihomogeneous diagonal equations ⋮ The divisor problem for binary cubic forms ⋮ Bihomogeneous forms in many variables

Cites Work

• Rational points of bounded height on Fano varieties
• Heights and Tamagawa measures on Fano varieties
• Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour
• On Manin's conjecture for singular del Pezzo surfaces of degree 4. I
• On the Number of Rational Points of Bounded Height on Smooth Bilinear Hypersurfaces in Biprojective Space
• A new form of the circle method, and its application to quadratic forms.
• Manin's conjecture for toric varieties
• Rational points on some Fano cubic bundles
• On Manin's conjecture for singular del Pezzo surfaces of degree four, II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Manin conjecture for \(x_0y_0+\dots+x_sy_s=0\)