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^*

^*此作品的通讯作者

数学科学学院

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

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	905-925
页数	21
期刊	International Journal of Algebra and Computation
卷	29
期	6
DOI	https://doi.org/10.1142/S0218196719500358
出版状态	已出版 - 1 9月 2019

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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.",

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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

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JO - International Journal of Algebra and Computation

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

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