On Manin's conjecture for a certain singular cubic surface over imaginary quadratic fields

2013/11/12 by Ulrich Derenthal, Derenthal, Ulrich, Christopher Frei +1
Mathematics · #11D45 (Primary) 14G05 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11D45 #msc:14G05

paper · pdf · doi:10.48550/arxiv.1311.2809

16 pages. Both this article and arXiv:1304.3352 provide applications of arXiv:1302.6151

arxiv created 2014/01/27 · arxiv updated 2014/01/28

Abstract

We prove Manin's conjecture over imaginary quadratic number fields for a cubic surface with a singularity of type E₆.

Citations

• Counting imaginary quadratic points via universal torsors

Related

• Manin's conjecture for a cubic surface with D₅ singularity
• Manin's conjecture for a certain singular cubic surface
• On Manin's conjecture for a certain singular cubic surface
• Manin's conjecture for a quintic del Pezzo surface with A₂ singularity
• Manin's conjecture for singular cubic hypersurfaces