A weighted version of Zariski's hyperplane section theorem and fundamental groups of complements of plane curves

1995/05/04 by Ichiro Shimada, Shimada, Ichiro · 1 citation
Engineering · Mathematics · #14H30 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.alg-geom/9505004

openalex publication_date 1995/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We formulate and prove a weighted version of Zariski's hyperplane section theorem on the topological fundamental groups of the complements of hypersurfaces in a projective space. As an application, we calculate fundamental groups of the complements of certain singular projective plane curves.

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• A note on Zariski pairs

Related

• Uniform Zariski's Theorem On Fundamental Groups
• Zariski-van Kampen theorem for higher homotopy groups
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