FUNDAMENTAL GROUPS OF SOME QUADRIC-LINE ARRANGEMENTS

AMRAM MEIRAV; M. Teicher; MUHAMMED ULUDAG A.

FUNDAMENTAL GROUPS OF SOME QUADRIC-LINE ARRANGEMENTS

AMRAM MEIRAV, M. Teicher, MUHAMMED ULUDAG A.

Department of Mathematics

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

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 /∈ Q. The last arrangement consists of a quadric Q with n lines passing through a point p ∈ Q.

Original language	American English
Pages (from-to)	857-893
Journal	Osaka Journal of Mathematics
Volume	40
Issue number	4
State	Published - 2003

Cite this

@article{0f841ef33b5943d093a6b965ea951437,

title = "FUNDAMENTAL GROUPS OF SOME QUADRIC-LINE ARRANGEMENTS",

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 /∈ Q. The last arrangement consists of a quadric Q with n lines passing through a point p ∈ Q.",

author = "AMRAM MEIRAV and M. Teicher and A., {MUHAMMED ULUDAG}",

year = "2003",

language = "American English",

volume = "40",

pages = "857--893",

journal = "Osaka Journal of Mathematics",

issn = "0030-6126",

publisher = "Osaka University",

number = "4",

}

TY - JOUR

T1 - FUNDAMENTAL GROUPS OF SOME QUADRIC-LINE ARRANGEMENTS

AU - MEIRAV, AMRAM

AU - Teicher, M.

AU - A., MUHAMMED ULUDAG

PY - 2003

Y1 - 2003

N2 - 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 /∈ Q. The last arrangement consists of a quadric Q with n lines passing through a point p ∈ Q.

AB - 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 /∈ Q. The last arrangement consists of a quadric Q with n lines passing through a point p ∈ Q.

UR - http://arxiv.org/pdf/math/0208248.pdf

M3 - Article

SN - 0030-6126

VL - 40

SP - 857

EP - 893

JO - Osaka Journal of Mathematics

JF - Osaka Journal of Mathematics

IS - 4

ER -

FUNDAMENTAL GROUPS OF SOME QUADRIC-LINE ARRANGEMENTS

Abstract

Other files and links

Fingerprint

Cite this