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: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^*

^*Corresponding author for this work

School of Mathematical Sciences

Shamoon College of Engineering
Soochow University
Bar-Ilan University
Shanghai Normal University

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

6 Scopus citations

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

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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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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

UR - https://www.scopus.com/pages/publications/85064124568

U2 - 10.1142/S0218196719500358

DO - 10.1142/S0218196719500358

M3 - 文章

AN - SCOPUS:85064124568

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

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