TY - JOUR AB - We give an upper bound for the number of rational points of height at most B, lying on a surface defined by a quadratic form Q. The bound shows an explicit dependence on Q. It is optimal with respect to B, and is also optimal for typical forms Q. AU - Browning, Timothy D AU - Heath-Brown, Roger ID - 178 JF - Discrete Analysis TI - Counting rational points on quadric surfaces VL - 15 ER -