@inbook{164,
abstract = {Let g be a cubic polynomial with integer coefficients and n>9 variables, and assume that the congruence g=0 modulo p^k is soluble for all prime powers p^k. We show that the equation g=0 has infinitely many integer solutions when the cubic part of g defines a projective hypersurface with singular locus of dimension <n-10. The proof is based on the Hardy-Littlewood circle method.},
author = {Browning, Timothy D and Heath Brown, Roger},
booktitle = {Analytic Number Theory: Essays in honour of Klaus Roth},
pages = {75 -- 90},
publisher = {Cambridge University Press},
title = {{Integral points on cubic hypersurfaces}},
year = {2009},
}