The density of rational points on Cayley's cubic surface

Abstract

The Cayley cubic surface is given by the equation sum_{i=1}^4 X_i^{-1}=0. We show that the number of non-trivial primitive integer points of size at most B is of exact order B(log B)^6, as predicted by Manin's conjecture.

29 pages

Cited by in corpus (1)

• Manin's conjecture for a certain singular cubic surface