English

Fundamental groups of some special quadric arrangements

Algebraic Geometry 2007-06-13 v3

Abstract

In this work we obtain presentations of fundamental groups of the complements of three families of quadric arrangements in P2\mathbb{P}^2. The first arrangement is a union of nn quadrics, which are tangent to each other at two common points. The second arrangement is composed of nn quadrics which are tangent to each other at one common point. The third arrangement is composed of nn quadrics, n1n-1 of them are tangent to the nn'th one and each one of the n1n-1 quadrics is transversal to the other n2n-2 ones.

Cite

@article{arxiv.math/0601454,
  title  = {Fundamental groups of some special quadric arrangements},
  author = {M. Amram and M. Teicher},
  journal= {arXiv preprint arXiv:math/0601454},
  year   = {2007}
}

Comments

21 pages, 12 main figures, appears in Revista Mathematicae