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

Mathematics – Algebraic Geometry

Scientific paper

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41 pages, 16 figures

Scientific paper

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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