ON SECTIONAL GENUS OF MULTI-QUASI-POLARIZED MANIFOLDS

Abstract

Let X be a smooth complex projective variety of dimension n and let L₁,... , L_n−1 be nef and big line bundles on X. In this paper, we prove the non-negativity of the sectional genus g₁(X, L₁,..., L_n−1). We also study multi-quasi-polarized manifolds (X, L₁,..., L_n−1) with g₁(X, L₁,..., L_n−1) = 0.