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
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Creator |
Shimada Ichiro
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Source Title |
International Journal of Mathematics
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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.
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NDC |
Mathematics [ 410 ]
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Language |
eng
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Resource Type | journal article |
Publisher |
World Scientific Publishing
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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.
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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
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