Fundamental groups of some quadric-line arrangements

Meirav Amram; Mina Teicher; A. Muhammed Uludag

doi:10.1016/S0166-8641(02)00218-3

Fundamental groups of some quadric-line arrangements

Meirav Amram, Mina Teicher, A. Muhammed Uludag

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	159-173
Number of pages	15
Journal	Topology and its Applications
Volume	130
Issue number	2
DOIs	https://doi.org/10.1016/S0166-8641(02)00218-3
State	Published - 1 May 2003

Bibliographical note

Funding 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).

Funding

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).

Funders	Funder number
Emmy Noether Research Institute for Mathematics
Israel Science Foundation	HPRN-CT-2009-00099

Keywords

Complements of curve
Conic-line arrangements
Fundamental groups

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10.1016/S0166-8641(02)00218-3

Cite this

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N2 - 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.

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Fundamental groups of some quadric-line arrangements

Abstract

Bibliographical note

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Keywords

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