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

Mathematics – Algebraic Geometry

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Scientific paper

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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