The fundamental groups of Galois covers of planar Zappatic deformations of type e k

Meirav Amram; Cheng Gong; Sheng Li Tan; Mina Teicher; Wan Yuan Xu

doi:https://doi.org/10.1142/s0218196719500358

The fundamental groups of Galois covers of planar Zappatic deformations of type e k

Meirav Amram, Cheng Gong, Sheng Li Tan, Mina Teicher, Wan Yuan Xu

Bar-Ilan University

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

Abstract

In this paper, we investigate the fundamental groups of Galois covers of planar Zappatic deformations of type Ek. Using Moishezon-Teicher's algorithm, we prove that the Galois covers of the generic fiber of planar Zappatic deformations of type Ek (k = 6, 7, 8, 9) are simply-connected; we also compute their Chern numbers.

Original language	English
Pages (from-to)	905-925
Number of pages	21
Journal	International Journal of Algebra and Computation
Volume	29
Issue number	6
DOIs	https://doi.org/10.1142/s0218196719500358
State	Published - 1 Sep 2019

Keywords

Fundamental groups
Galois cover
Zappatic deformation
braid monodromy factorization

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.1142/s0218196719500358

Cite this

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abstract = "In this paper, we investigate the fundamental groups of Galois covers of planar Zappatic deformations of type Ek. Using Moishezon-Teicher's algorithm, we prove that the Galois covers of the generic fiber of planar Zappatic deformations of type Ek (k = 6, 7, 8, 9) are simply-connected; we also compute their Chern numbers.",

keywords = "Fundamental groups, Galois cover, Zappatic deformation, braid monodromy factorization",

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

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T1 - The fundamental groups of Galois covers of planar Zappatic deformations of type e k

AU - Amram, Meirav

AU - Gong, Cheng

AU - Tan, Sheng Li

AU - Teicher, Mina

AU - Xu, Wan Yuan

PY - 2019/9/1

Y1 - 2019/9/1

N2 - In this paper, we investigate the fundamental groups of Galois covers of planar Zappatic deformations of type Ek. Using Moishezon-Teicher's algorithm, we prove that the Galois covers of the generic fiber of planar Zappatic deformations of type Ek (k = 6, 7, 8, 9) are simply-connected; we also compute their Chern numbers.

AB - In this paper, we investigate the fundamental groups of Galois covers of planar Zappatic deformations of type Ek. Using Moishezon-Teicher's algorithm, we prove that the Galois covers of the generic fiber of planar Zappatic deformations of type Ek (k = 6, 7, 8, 9) are simply-connected; we also compute their Chern numbers.

KW - Fundamental groups

KW - Galois cover

KW - Zappatic deformation

KW - braid monodromy factorization

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U2 - https://doi.org/10.1142/s0218196719500358

DO - https://doi.org/10.1142/s0218196719500358

M3 - مقالة

SN - 0218-1967

VL - 29

SP - 905

EP - 925

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 6

ER -

The fundamental groups of Galois covers of planar Zappatic deformations of type e k

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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