The density of rational points on a certain singular cubic surface

Details The density of rational points on a certain singular cubic surface The density of rational points on a certain singular cubic surface

2004-04-13

arxiv.org/abs/math/0404245v4

Mathematics

Number Theory

38 pages; corrected version

Scientific paper

We show that the number of non-trivial rational points of height at most $B$,
that lie on the cubic surface $x_1x_2x_3=x_4(x_1+x_2+x_3)^2$, has order of
magnitude $B(\log B)^6$. This agrees with the Manin conjecture.

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