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Local braid monodromies and local fundamental groups of tangented conic-line arrangements

2004/01/26 by Meirav Amram, Amram, Meirav, David Garber +3 · 1 citation
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/0401351

32 pages, 26 figures; Submitted

arxiv created 2004/01/26 · openalex publication_date 2004/01/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is the first part of a series of three papers about the fundamental groups of conic-line arrangements consist of two tangented conics and up to two additional tangented lines. In this part, we compute the local braid monodromies and the local fundamental groups of the singularities which appear in such arrangements.

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