Manin's conjecture for quintic del Pezzo surfaces with a conic bundle structure
Number Theory
2025-06-04 v1
Abstract
We investigate Manin's conjecture for del Pezzo surfaces of degree five with a conic bundle structure, proving matching upper and lower bounds, and the full conjecture in the Galois general case.
Cite
@article{arxiv.2506.02829,
title = {Manin's conjecture for quintic del Pezzo surfaces with a conic bundle structure},
author = {D. R. Heath-Brown and Daniel Loughran},
journal= {arXiv preprint arXiv:2506.02829},
year = {2025}
}
Comments
98 pages