On classification of polarized 3-folds (X, L) with h(0)(K-X+2L)=2

被引：0
作者：
Fukuma, Yoshiaki [1 ]
机构：
[1] Kochi Univ, Fac Sci, Dept Math, Akebono Cho, Kochi 7808520, Japan
来源：
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2014年 / 55卷 / 01期
基金：
日本学术振兴会;
关键词：
Polarized manifold; Adjunction theory; Adjoint bundles; Sectional genus; Sectional geometric genus;
D O I：
10.1007/s13366-013-0161-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (X, L) be a complex polarized manifold of dimension n >= 3. In this paper, we give a classification of (X, L) with n = 3 and h(0)(K-X + 2L) = 2. In order to classify these (X, L), we study a classification of (X, L) which satisfies h(0)(K-X + (n - 1) L) = 2 and kappa(K-X + (n - 2) L) = -infinity. Moreover we also classify (X, L) with n = 3, kappa(K-X + L) >= 0 and h(0)(K-X + 2L) = 3.
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页码：77 / 103
页数：27
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