Manin's conjecture on a nonsingular quartic del Pezzo surface

Abstract

Given a nonsingular quartic del Pezzo surface, a conjecture of Manin predicts the density of rational points on the open subset of the surface formed by deleting the lines. We prove that this prediction is of the correct order of magnitude for a particular surface.

29 pages

References in corpus (2)

• Sums of arithmetic functions over values of binary forms
• An overview of Manin's conjecture for del Pezzo surfaces

Cited by in corpus (1)

• Manin's conjecture for quartic del Pezzo surfaces with a conic fibration