Fundamental groups of some special quadric arrangements.

Meirav Amram; Mina Teicher

Revista Matemática Complutense (2006)

  • Volume: 19, Issue: 2, page 259-276
  • ISSN: 1139-1138

Abstract

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Continuing our work on the fundamental groups of conic-line arrangements (Amram et al., 2003), we obtain presentations of fundamental groups of the complements of three families of quadric arrangements in P2. The first arrangement is a union of n conics, which are tangent to each other at two common points. The second arrangement is composed of n quadrics which are tangent to each other at one common point. The third arrangement is composed of n quadrics, n-1 of them are tangent to the n-th one and each one of the n-1 quadrics is transversal to the other n-2 ones.

How to cite

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Amram, Meirav, and Teicher, Mina. "Fundamental groups of some special quadric arrangements.." Revista Matemática Complutense 19.2 (2006): 259-276. <http://eudml.org/doc/41901>.

@article{Amram2006,
abstract = {Continuing our work on the fundamental groups of conic-line arrangements (Amram et al., 2003), we obtain presentations of fundamental groups of the complements of three families of quadric arrangements in P2. The first arrangement is a union of n conics, which are tangent to each other at two common points. The second arrangement is composed of n quadrics which are tangent to each other at one common point. The third arrangement is composed of n quadrics, n-1 of them are tangent to the n-th one and each one of the n-1 quadrics is transversal to the other n-2 ones.},
author = {Amram, Meirav, Teicher, Mina},
journal = {Revista Matemática Complutense},
keywords = {Curvas algebraicas; Cuádricas; Grupos},
language = {eng},
number = {2},
pages = {259-276},
title = {Fundamental groups of some special quadric arrangements.},
url = {http://eudml.org/doc/41901},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Amram, Meirav
AU - Teicher, Mina
TI - Fundamental groups of some special quadric arrangements.
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 2
SP - 259
EP - 276
AB - Continuing our work on the fundamental groups of conic-line arrangements (Amram et al., 2003), we obtain presentations of fundamental groups of the complements of three families of quadric arrangements in P2. The first arrangement is a union of n conics, which are tangent to each other at two common points. The second arrangement is composed of n quadrics which are tangent to each other at one common point. The third arrangement is composed of n quadrics, n-1 of them are tangent to the n-th one and each one of the n-1 quadrics is transversal to the other n-2 ones.
LA - eng
KW - Curvas algebraicas; Cuádricas; Grupos
UR - http://eudml.org/doc/41901
ER -

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