The density of rational points on a certain singular cubic surface
نویسنده
چکیده
We show that the number of non-trivial rational points of height at most B, which lie on the cubic surface x1x2x3 = x4(x1 + x2 + x3) , has order of magnitude B(log B). This agrees with Manin’s conjecture.
منابع مشابه
INHOMOGENEOUS CUBIC CONGRUENCES AND RATIONAL POINTS ON DEL PEZZO SURFACES by
— For given non-zero integers a, b, q we investigate the density of solutions (x, y) ∈ Z to the binary cubic congruence ax + by ≡ 0 mod q, and use it to establish the Manin conjecture for a singular del Pezzo surface of degree 2 defined over Q.
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