Moduli spaces of arrangements of 11 projective lines with a quintuple point

Meirav Amram; Cheng Gong; Mina Teicher; Wan Yuan Xu

doi:10.3906/mat-1410-18

Moduli spaces of arrangements of 11 projective lines with a quintuple point

Meirav Amram, Cheng Gong, Mina Teicher, Wan Yuan Xu

Department of Mathematics

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

1 Scopus citations

Abstract

In this paper, we try to classify moduli spaces of arrangements of 11 lines with quintuple points. We show that moduli spaces of arrangements of 11 lines with quintuple points can consist of more than 2 connected components. We also present defining equations of the arrangements whose moduli spaces are not irreducible after taking quotients by the complex conjugation by Maple and supply some "potential Zariski pairs".

Original language	English
Pages (from-to)	618-644
Number of pages	27
Journal	Turkish Journal of Mathematics
Volume	39
Issue number	5
DOIs	https://doi.org/10.3906/mat-1410-18
State	Published - 2015

Bibliographical note

Publisher Copyright:
© Tübi˙tak.

Keywords

Irreducibility
Line arrangements
Moduli spaces

Access to Document

10.3906/mat-1410-18

Cite this

@article{dff1074a2428451581f9c47675e16404,

title = "Moduli spaces of arrangements of 11 projective lines with a quintuple point",

abstract = "In this paper, we try to classify moduli spaces of arrangements of 11 lines with quintuple points. We show that moduli spaces of arrangements of 11 lines with quintuple points can consist of more than 2 connected components. We also present defining equations of the arrangements whose moduli spaces are not irreducible after taking quotients by the complex conjugation by Maple and supply some {"}potential Zariski pairs{"}.",

keywords = "Irreducibility, Line arrangements, Moduli spaces",

author = "Meirav Amram and Cheng Gong and Mina Teicher and Xu, {Wan Yuan}",

note = "Publisher Copyright: {\textcopyright} T{\"u}bi˙tak.",

year = "2015",

doi = "10.3906/mat-1410-18",

language = "אנגלית",

volume = "39",

pages = "618--644",

journal = "Turkish Journal of Mathematics",

issn = "1300-0098",

publisher = "TUBITAK",

number = "5",

}

TY - JOUR

T1 - Moduli spaces of arrangements of 11 projective lines with a quintuple point

AU - Amram, Meirav

AU - Gong, Cheng

AU - Teicher, Mina

AU - Xu, Wan Yuan

N1 - Publisher Copyright: © Tübi˙tak.

PY - 2015

Y1 - 2015

N2 - In this paper, we try to classify moduli spaces of arrangements of 11 lines with quintuple points. We show that moduli spaces of arrangements of 11 lines with quintuple points can consist of more than 2 connected components. We also present defining equations of the arrangements whose moduli spaces are not irreducible after taking quotients by the complex conjugation by Maple and supply some "potential Zariski pairs".

AB - In this paper, we try to classify moduli spaces of arrangements of 11 lines with quintuple points. We show that moduli spaces of arrangements of 11 lines with quintuple points can consist of more than 2 connected components. We also present defining equations of the arrangements whose moduli spaces are not irreducible after taking quotients by the complex conjugation by Maple and supply some "potential Zariski pairs".

KW - Irreducibility

KW - Line arrangements

KW - Moduli spaces

UR - http://www.scopus.com/inward/record.url?scp=84941072380&partnerID=8YFLogxK

U2 - 10.3906/mat-1410-18

DO - 10.3906/mat-1410-18

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84941072380

SN - 1300-0098

VL - 39

SP - 618

EP - 644

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

IS - 5

ER -

Moduli spaces of arrangements of 11 projective lines with a quintuple point

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this