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The density of rational points on a certain singular cubic surface

✍ Scribed by T.D. Browning

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
332 KB
Volume
119
Category
Article
ISSN
0022-314X

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✦ Synopsis

We show that the number of nontrivial rational points of height at most B, which lie on the cubic surface x 1 x 2 x 3 = x 4 (x 1 + x 2 + x 3 ) 2 , has order of magnitude B(log B) 6 . This agrees with Manin's conjecture.

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