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

International Journal of Mathematics Volume 21 Issue 5 Page 591-637 published_at 2010
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Title ( eng )
GENERALIZED ZARISKI–VAN KAMPEN THEOREM AND ITS APPLICATION TO GRASSMANNIAN DUAL VARIETIES
Creator
Shimada Ichiro
Source Title
International Journal of Mathematics
Volume 21
Issue 5
Start Page 591
End Page 637
Abstract
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.
NDC
Mathematics [ 410 ]
Language
eng
Resource Type journal article
Publisher
World Scientific Publishing
Date of Issued 2010
Rights
Copyright (c) World Scientific Publishing Company
Electronic version of an article published as International Journal of Mathematics (IJM), Vol. 21, No. 5 (2010) 591-637.
Publish Type Author’s Original
Access Rights open access
Source Identifier
[ISSN] 0129-167X
[DOI] 10.1142/S0129167X10006252
[NCID] AA10754794
[DOI] http://dx.doi.org/10.1142/S0129167X10006252