“…Building on work in [12], from which it follows that for S a K3 surface γ S (r, ℓ, 0, 1; n) ∼ γ S (r ′ , ℓ, 0, 1; n) as n −→ ∞, and [6], which described equidistribution in the case ℓ 1 = ℓ 2 = 2, we use the asymptotics derived from the exact formula in Theorem 5 to make the following statement about the equidistribution of Hodge numbers for appropriate surfaces: Theorem 6. Let S be a smooth projective complex surface such that χ(S) ≥ σ(S).…”