Manin's conjecture for a quintic del Pezzo surface with A_2 singularity

TL;DR

This paper proves Manin's conjecture for a specific type of algebraic surface, namely a split del Pezzo surface of degree 5 with an A_2 singularity, advancing understanding of rational points on such surfaces.

Contribution

The paper establishes the validity of Manin's conjecture for a particular singular del Pezzo surface, which was previously unverified.

Findings

Manin's conjecture is confirmed for the specified surface.

The result extends the class of surfaces where the conjecture is known to hold.

The proof involves analyzing the geometric and arithmetic properties of the surface.

Abstract

Manin's conjecture is proved for a split del Pezzo surface of degree 5 with a singularity of type A_2.