Moduli Spaces of Arrangements of 11 Projective Lines with a Quintuple Point

AMRAM Meirav; GONG Cheng; M. Teicher; XU Wan-Yuan

Moduli Spaces of Arrangements of 11 Projective Lines with a Quintuple Point

AMRAM Meirav, GONG Cheng, M. Teicher, XU Wan-Yuan

Department of Mathematics

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

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	American English
Pages (from-to)	618-644
Journal	Turkish Journal of Mathematics
Volume	39
State	Published - 2015

Bibliographical note

Amram, Meirav, et al. "Moduli Spaces of Arrangements of 11 Projective Lines with a Quintuple Point."

Cite this

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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”.",

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AU - Meirav, AMRAM

AU - Cheng, GONG

AU - Teicher, M.

AU - Wan-Yuan, XU

N1 - Amram, Meirav, et al. "Moduli Spaces of Arrangements of 11 Projective Lines with a Quintuple Point."

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”.

UR - http://journals.tubitak.gov.tr/math/issues/mat-15-39-5/mat-39-5-3-1410-18.pdf

M3 - Article

SN - 1300-0098

VL - 39

SP - 618

EP - 644

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

ER -

Moduli Spaces of Arrangements of 11 Projective Lines with a Quintuple Point

Abstract

Bibliographical note

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