On the connection between affine and projective fundamental groups of line arrangements and curves

2002/12/31 by David Garber, Garber, David
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #math.AT #math.GT

paper · pdf · doi:10.48550/arxiv.math/0212385

10 pages, 6 figures; submitted for publication; Some results have been strengthened

openalex publication_date 2002/12/31 · arxiv created 2003/02/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we prove a decomposition related to the affine fundamental group and the projective fundamental group of a line arrangement and a reducible curve with a line component. We give some applications to this result.

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