On the sectional geometric genus of quasi-polarized varieties,II

Let (X,L) be a quasi-polarized variety of dim X=n. In the previous paper we gave a new invariant (the i-th sectional geometric genus) of (X,L), which is a generalization of the degree and the sectional genus of (X,L). In this paper we study some properties of the sectional geometric genus, and we consider the i-th sectional geometric genus of some special varieties. This research was partially supported by Grant-in-Aid for Scientific Research (No.14740018) from the Ministry of Education, Culture, Sports, Science and Technology.Mathematics Subject Classification (2000):Primary 14C20; Secondary 14J30, 14J32, 14J35, 14J40, 14J45, 14N99