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

Ichiro Shimada
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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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BibTeXRIS

Ichiro Shimada. 1995-05-04. A weighted version of Zariski's hyperplane section theorem and fundamental groups of complements of plane curves. https://arxiv.org/abs/alg-geom/9505004

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