Generalized Zariski-van Kampen theorem and its application to Grassmannian dual varieties
Algebraic Geometry
2009-06-08 v1
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.
Cite
@article{arxiv.0906.1074,
title = {Generalized Zariski-van Kampen theorem and its application to Grassmannian dual varieties},
author = {Ichiro Shimada},
journal= {arXiv preprint arXiv:0906.1074},
year = {2009}
}
Comments
41 pages, 16 figures