Fundamental groups of some special quadric arrangements

2006/01/18 by M. Amram, Amram, M., M. Teicher +1
Mathematics · #14H20 #14H30 #14Q05 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14H20 #msc:14H30 #msc:14Q05

paper · pdf · doi:10.48550/arxiv.math/0601454

21 pages, 12 main figures, appears in Revista Mathematicae

arxiv created 2007/05/29 · arxiv updated 2009/12/01

Abstract

In this work we obtain presentations of fundamental groups of the complements of three families of quadric arrangements in ℙ². The first arrangement is a union of n quadrics, which are tangent to each other at two common points. The second arrangement is composed of n quadrics which are tangent to each other at one common point. The third arrangement is composed of n quadrics, n-1 of them are tangent to the n'th one and each one of the n-1 quadrics is transversal to the other n-2 ones.

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