English

Fundamental groups of some quadric-line arrangements

Algebraic Geometry 2007-05-23 v1

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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Cite

@article{arxiv.math/0208248,
  title  = {Fundamental groups of some quadric-line arrangements},
  author = {Meirav Amram and Mina Teicher and Muhammed Uludag},
  journal= {arXiv preprint arXiv:math/0208248},
  year   = {2007}
}

Comments

19 pages