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Fundamental Groups of Some Special Quadric Arrangements

By Meirav Amram and Mina Teicher


Continuing our work on the fundamental groups of conic-line arrangements [3], we obtain presentations of fundamental groups of the complements of three families of quadric arrangements in P 2. The first arrangement is a union of n conics, 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 nth one and each one of the n − 1 quadrics is transversal to the other n − 2 ones. Key words: fundamental groups, complement of curve, conic arrangement. 2000 Mathematics Subject Classification: 14H20, 14H30, 14Q05

Year: 1005
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