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

Mathematics – Geometric Topology

Scientific paper

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32 pages, 26 figures; Submitted

Scientific paper

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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