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arXiv · 0906.1074

Generalized Zariski-van Kampen theorem and its application to Grassmannian dual varieties

Ichiro Shimada
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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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Ichiro Shimada. 2009-06-05. Generalized Zariski-van Kampen theorem and its application to Grassmannian dual varieties. https://arxiv.org/abs/0906.1074

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