INVARIANTS OF AMPLE LINE BUNDLES ON PROJECTIVE VARIETIES AND THEIR APPLICATIONS, II

被引：8

作者：

Fukuma, Yoshiaki ^{[1
]}

机构：

[1] Kochi Univ, Dept Math, Fac Sci, Kochi 7808520, Japan

来源：

KODAI MATHEMATICAL JOURNAL | 2010年 / 33卷 / 03期

基金：

日本学术振兴会;

关键词：

Polarized varieties; ample line bundles; nef and big line bundles; sectional genus; ith sectional geometric genus; ith sectional H-arithmetic genus; ith sectional arithmetic genus; adjoint bundles; QUASI-POLARIZED VARIETIES; SECTIONAL GEOMETRIC GENUS; VECTOR-BUNDLES; GENERALIZED ADJUNCTION; CURVE GENUS; MANIFOLDS; 3-FOLDS; CONE;

D O I：

10.2996/kmj/1288962551

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a smooth complex projective variety of dimension n and let L-1,..., Ln-i be ample line bundles on X, where i is an integer with 0 <= i <= n - 1. In the previous paper, we defined the i-th sectional geometric genus g(i)(X, L-1,..., Ln-i) of (X, L-1 ,..., Ln-i). In this part II. we will investigate a lower bound for g(i)(X, L-1,..., Ln-i). Moreover we will study the first sectional geometric genus of (X, L-1,..., Ln-1).

引用

页码：416 / 445

页数：30

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