Let (
X,
L) be a quasi-polarized manifold over the complex number field with dim
X=
n and κ(
X)≥0. If
n=2, κ(
X)≥0, and
h0(
L)=dim
H0(
L)≥2, then in our previous paper we studied a lower bound for sectional genus
g(
L). In this paper, we mainly consider the case in which
n=3, κ(
X)≥0, and
h0(
L)≥3, and we obtain a lower bound for
g(
L) which is a generalization of the result of our previous paper.
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