Counting rational points on algebraic varieties
  Let $Z$ be a projective geometrically integral algebraic variety. This paper is concerned with estimating the number of rational points on $Z$ which have height at most $B$. The bounds obtained are uniform in varieties of fixed degree and fixed dimension, and are essentially best possible for varieties of degree at least six. 
T.D. Browning, D.R. Heath-Brown and P. Salberger