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

被引：9

作者：

Fukuma, Y ^{[1
]}

机构：

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

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2004年 / 194卷 / 1-2期

关键词：

D O I：

10.1016/j.jpaa.2004.03.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：113 / 126

页数：14

共 30 条

[1] On the second sectional geometric genus of quasi-polarized manifolds
Fukuma, Y
[J]. ADVANCES IN GEOMETRY, 2004, 4 (02) : 215 - 239
[2] A lower bound for sectional genus of quasi-polarized manifolds
Fukuma, Y
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[3] On the sectional geometric genus of quasi-polarized varieties, II
Fukuma, Y
[J]. MANUSCRIPTA MATHEMATICA, 2004, 113 (02) : 211 - 237
[4] On the sectional geometric genus of quasi-polarized varieties, II
Yoshiaki Fukuma
[J]. manuscripta mathematica, 2004, 113 : 211 - 237
[5] On Quasi-Polarized Manifolds Whose Sectional Genus is Equal to the Irregularity
Fukuma, Yoshiaki
[J]. RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2011, 125 : 107 - 117
[6] On the sectional geometric genus of quasi-polarized varieties. I
Fukuma, Y
[J]. COMMUNICATIONS IN ALGEBRA, 2004, 32 (03) : 1069 - 1100
[7] On sectional genus of quasi-polarized manifolds with non-negative kodaira dimension
Fukuma, Y
[J]. MATHEMATISCHE NACHRICHTEN, 1996, 180 : 75 - 84
[8] On sectional genus of quasi-polarized 3-folds
Fukuma, Y
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 351 (01) : 363 - 377
[9] A lower bound for the sectional genus of quasi-polarized surfaces
Fukuma, Y
[J]. GEOMETRIAE DEDICATA, 1997, 64 (02) : 229 - 251
[10] A Lower Bound for the Sectional Genus of Quasi-Polarized Surfaces
Yoshiaki Fukuma
[J]. Geometriae Dedicata, 1997, 64 : 229 - 251

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