Manin's conjecture on a nonsingular quartic del Pezzo surface

Details Manin's conjecture on a nonsingular quartic del Pezzo surface Manin's conjecture on a nonsingular quartic del Pezzo surface

2008-06-09

arxiv.org/abs/0806.1536v1

Mathematics

Algebraic Geometry

29 pages

Scientific paper

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.

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