Fundamental groups of some special quadric arrangements

• Autores: Mina Teicher, Meirav Amram
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 19, Nº 2, 2006, págs. 259-276
• Idioma: inglés
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  • 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 P2. 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.