Braid Monodromy of Special Curve

2002/07/25 by Meirav Amram, Mina Teicher
Mathematics · #math.AG

paper · pdf

published as JKTR, 10, n0. 2, 2001 · 42 pages

arxiv created 2002/07/25 · arxiv updated 2009/11/30

Abstract

In this article, we compute the braid monodromy of two algebraic curves defined over R. These two curves are of complex level not bigger than 6, and they are unions of lines and conics. We use two different techniques for computing their braid monodromies. These results will be applied to computations of fundamental groups of their complements in C² and C PP².

Related

• Braid Monodromy Computation of Real Singular Curves
• Computing the Braid Monodromy of Completely Reducible n-gonal Curves
• Braid Monodromy Type and Rational Transformations of Plane Algebraic Curves
• Braid Group techniques in Complex Geometry V: The fundamental group of the complement of a Veronese generic projection
• Local braid monodromies and local fundamental groups of tangented conic-line arrangements