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

2009/06/05 by Ichiro Shimada, Shimada, Ichiro · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0906.1074

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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