In this paper we obtain presentations of fundamental groups of the complements of three quadric-line arrangements in ℙ2. 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∉Q. The last arrangement consists of a quadric Q with n lines passing through a point p∈Q.
Bibliographical noteFunding Information:
This work was partially supported by the Emmy Noether Research Institute for Mathematics (center of the Minerva Foundation of Germany), the Excellency Center “Group Theoretic Methods in the Study of Algebraic Varieties” of the Israel Science Foundation, and EAGER (EU network, HPRN-CT-2009-00099).
- Complements of curve
- Conic-line arrangements
- Fundamental groups