Invariants of ample line bundles on projective varieties and their applications, II

Abstract

Let X be a smooth complex projective variety of dimension n and let L₁, ..., L_n-i be ample line bundles on X, where i is an integer with 0 ≤ i ≤ n-1. In the previous paper, we defined the i-th sectional geometric genus g_i(X, L₁, ..., L_n-i) of (X, L₁, ..., L_n-i). In this part II, we will investigate a lower bound for g_i(X, L₁, ..., L_n-i). Moreover we will study the first sectional geometric genus of (X, L₁, ..., L_n-1).