2015 Volume 69 Issue 1 Pages 49-62
Let X be a smooth complex projective variety of dimension n and let L1,... , Ln−1 be nef and big line bundles on X. In this paper, we prove the non-negativity of the sectional genus g1(X, L1,..., Ln−1). We also study multi-quasi-polarized manifolds (X, L1,..., Ln−1) with g1(X, L1,..., Ln−1) = 0.