A classification of polarized surfaces (X, L) with κ(X)≥0, dim Bs|L|≤0, g(L)=q(X)+m, and h⁰(L)=m+1

Abstract

Let (X, L) be a polarized surface and dim Bs|L|≤0. In our previous paper we have studied polarized surfaces with g(L)=q(X)+m and h⁰(L)≥m+2. In this paper, we classify (X, L) with κ(X)≥0, g(L)=q(X)+m and h⁰(L)=m+1.