Fundamental groups of Galois covers of degree 5 surfaces

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

doi:10.3906/mat-2012-28

Fundamental groups of Galois covers of degree 5 surfaces

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

Department of Mathematics

Bar-Ilan University

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

Abstract

Let X be an algebraic surface of degree 5, which is considered a branch cover of (Formula presented) with respect to a generic projection. The surface has a natural Galois cover with Galois group S5. In this paper, we deal with the fundamental groups of Galois covers of degree 5 surfaces that degenerate to nice plane arrangements; each of them is a union of five planes such that no three planes meet in a line.

Original language	English
Pages (from-to)	1517-1542
Number of pages	26
Journal	Turkish Journal of Mathematics
Volume	45
Issue number	4
DOIs	https://doi.org/10.3906/mat-2012-28
State	Published - 2021

Keywords

Degeneration
Galois cover
braid monodromy
fundamental group
generic projection

All Science Journal Classification (ASJC) codes

General Mathematics

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10.3906/mat-2012-28

Cite this

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title = "Fundamental groups of Galois covers of degree 5 surfaces",

abstract = "Let X be an algebraic surface of degree 5, which is considered a branch cover of (Formula presented) with respect to a generic projection. The surface has a natural Galois cover with Galois group S5. In this paper, we deal with the fundamental groups of Galois covers of degree 5 surfaces that degenerate to nice plane arrangements; each of them is a union of five planes such that no three planes meet in a line.",

keywords = "Degeneration, Galois cover, braid monodromy, fundamental group, generic projection",

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AU - Amram, Meirav

AU - Gong, Cheng

AU - Teicher, Mina

AU - Xu, Wan Yuan

PY - 2021

Y1 - 2021

N2 - Let X be an algebraic surface of degree 5, which is considered a branch cover of (Formula presented) with respect to a generic projection. The surface has a natural Galois cover with Galois group S5. In this paper, we deal with the fundamental groups of Galois covers of degree 5 surfaces that degenerate to nice plane arrangements; each of them is a union of five planes such that no three planes meet in a line.

AB - Let X be an algebraic surface of degree 5, which is considered a branch cover of (Formula presented) with respect to a generic projection. The surface has a natural Galois cover with Galois group S5. In this paper, we deal with the fundamental groups of Galois covers of degree 5 surfaces that degenerate to nice plane arrangements; each of them is a union of five planes such that no three planes meet in a line.

KW - Degeneration

KW - Galois cover

KW - braid monodromy

KW - fundamental group

KW - generic projection

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U2 - 10.3906/mat-2012-28

DO - 10.3906/mat-2012-28

M3 - مقالة

SN - 1300-0098

VL - 45

SP - 1517

EP - 1542

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

IS - 4

ER -

Fundamental groups of Galois covers of degree 5 surfaces

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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