Manin's conjecture for a cubic surface with D₅ singularity

2008/07/29 by T. D. Browning, Ulrich Derenthal, Browning, T. D. +2 · 1 citation
Mathematics · #11G35 (Primary) 14G05 #14G10 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Number Theory (math.NT) #math.AG #math.NT #msc:11G35 #msc:14G05 #msc:14G10

paper · pdf · doi:10.48550/arxiv.0807.4733

26 pages, 1 figure

openalex publication_date 2008/07/29 · arxiv created 2008/10/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Manin conjecture is established for a split singular cubic surface in P³, with singularity type D₅.

Cited by

• Counting integral points on universal torsors

Related

• Manin's conjecture for a quintic del Pezzo surface with A₂ singularity
• Manin's conjecture for a quartic del Pezzo surface with A₄ singularity
• On Manin's conjecture for a certain singular cubic surface over imaginary quadratic fields
• Manin's conjecture for a certain singular cubic surface
• On Manin's conjecture for a certain singular cubic surface