On Manin's conjecture for Châtelet surfaces

2024/09/25 by Katharine Woo, Woo, Katharine · 3 citations
#math.NT #math.AG

paper · pdf · doi:10.48550/arxiv.2409.17381

Abstract

We resolve Manin's conjecture for all Châtelet surfaces over ℚ.

Cited by

• M-points of bounded height
• Cubic polynomials and sums of two squares
• Counting points on a family of degree one del Pezzo surfaces

Related

• On Manin's conjecture for a family of Châtelet surfaces
• Manin's conjecture for a quintic del Pezzo surface with A₂ singularity
• The Manin conjecture in dimension 2
• Manin's conjecture for quintic del Pezzo surfaces with a conic bundle structure
• Binary forms as sums of two squares and Châtelet surfaces