Addendum to “On the Sectional Geometric Genus of Quasi-Polarized Varieties, I” by Yoshiaki Fukuma

Abstract

Let (X, L) be a polarized manifold defined over the complex number field with dim X = n such that L is very ample. In this article, we will improve the classification of (X, L) with g 2(X, L) = h 2(𝒪 X ) + 1 which was obtained in Fukuma (Fukuma 2004, Theorem 3.6), where g 2(X, L) denotes the second sectional geometric genus of (X, L).