GENERALIZED ZARISKI-VAN KAMPEN THEOREM AND ITS APPLICATION TO GRASSMANNIAN DUAL VARIETIES

被引：3
|
作者：
Shimada, Ichiro [1 ]
机构：
[1] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7398526, Japan
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2010年 / 21卷 / 05期
关键词：
Fundamental groups; Zariski-van Kampen method; monodromy; dual varieties; hyperplane section theorem; braid group; FUNDAMENTAL-GROUPS; COMPLEMENTS; MONODROMY; CURVE;
D O I：
10.1142/S0129167X10006252
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We formulate and prove a generalization of Zariski-van Kampen theorem on the topological fundamental groups of smooth complex algebraic varieties. As an application, we prove a hyperplane section theorem of Lefschetz-Zariski-van Kampen type for the fundamental groups of the complements to the Grassmannian dual varieties.
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页码：591 / 637
页数：47
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