On complex n-folds polarized by an ample line bundle L with Bs|L| = ∅, g(X,L) = q(X) + m and h⁰(L) = n + m − 1

Abstract

Let (X,L) be a polarized manifold with dim X = n ≥ 3 and Bs|L|= ∅. In this paper, we classify (X,L) with g(X,L)= q(X) + m and h⁰(L) = n + m − 1.