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On cubic surfaces with a rational line

✍ Scribed by Andreas-Stephan Elsenhans; Jörg Jahnel

Book ID
113013891
Publisher
Springer
Year
2012
Tongue
English
Weight
161 KB
Volume
98
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES

The density of rational points on a cert
The density of rational points on a certain singular cubic surface
✍ T.D. Browning 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 332 KB

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.