A formula for the sectional geometric genus of quasi-polarized manifolds by using intersection numbers

摘要

Let (X, L) be a quasi-polarized manifold of dim X = n defined over the complex number field. In a previous paper, for every integer i with 0 less than or equal to i less than or equal to n, we defined the ith sectional geometric genus g(i)(X, L) of (X, L). In this paper, we give a formula for g(i)(X, L) by using intersection numbers. (C) 2004 Elsevier B.V. All rights reserved.