Density of Rational Points on diagonal bidegree (1,2) hypersurface in P^s-1 × P^s-1

In this paper we establish an asymptotic formula for the number of rational points of bounded anticanonical height which lie on a certain Zariski dense subset of the biprojective hypersurface {align*} x_1y_1^2+… +x_sy_s^2 = 0{align*}in Pˢ⁻¹ × Pˢ⁻¹ with s ≥ 7. This confirms the Manin conjecture for this variety.