Fundamental groups of some quadric-line arrangements

Meirav Amram; Mina Teicher; Muhammed Uludag

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Fundamental groups of some quadric-line arrangements

Meirav Amram·Mina Teicher·Muhammed Uludag

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Abstract

In this paper we obtain presentations of fundamental groups of the complements of three quadric-line arrangements in P^2. The first arrangement is a smooth quadric Q with n tangent lines to Q, and the second one is a quadric Q with n lines passing through a point p not in Q. The last arrangement consists of a quadric Q with n lines passing through a point p in Q.

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Meirav Amram, Mina Teicher, Muhammed Uludag. 2002-08-30. Fundamental groups of some quadric-line arrangements. https://arxiv.org/abs/math/0208248

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