Fundamental groups of some quadric-line arrangements
Meirav Amram, Mina Teicher, A. Muhammed Uludağ
Abstract
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Meirav Amram, Mina Teicher, A. Muhammed Uludağ
Abstract
Open-access reader
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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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.
Key concepts: Quadric, Tangent, Line (geometry), Mathematics, Point (geometry), Combinatorics, Pure mathematics, Geometry