'On the Sectional Geometric Genus of Quasi-Polarized Varieties, I' (vol 32, pg 1069, 2004)

摘要

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)(OX)+1 which was obtained in Fukuma (Fukuma 2004, Theorem 3.6), where g2(X, L) denotes the second sectional geometric genus of (X, L).