A Lower Bound for (KX + tL)Ln − 1 of Quasi-Polarized Manifolds (X, L) with κ(KX + tL) ≥ 0

Let (X, L) be a quasi-polarized manifold defined over the complex number field with dim X = n ≥ 2. In this paper, we mainly consider a lower bound for (KX + tL)Ln − 1 with κ(KX + tL) ≥ 0 and n = 2, 3 for t with 0 ≤ t ≤ n − 1. This lower bound is useful to classify (X, L) via the sectional genus g(L).