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.

引用

页码：591 / 637

页数：47

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