The fundamental groups of Galois covers of planar Zappatic deformations of type Ek-Reference-Cited by-同舟云学术

The fundamental groups of Galois covers of planar Zappatic deformations of type Ek

Published:2019-08-26 Issue:06 Volume:29 Page:905-925
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Amram Meirav¹,Gong Cheng²,Tan Sheng-Li³,Teicher Mina⁴,Xu Wan-Yuan⁵

Affiliation:

1. Shamoon College of Engineering, Ashdod, Israel

2. Department of Mathematics, Soochow University, Shizi RD 1, Suzhou 215006, Jiangsu, P. R. China

3. School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan RD, Shanghai 200241, P. R. China

4. Emmy Noether Research Institute for Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel

5. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

Abstract

In this paper, we investigate the fundamental groups of Galois covers of planar Zappatic deformations of type [Formula: see text]. Using Moishezon–Teicher’s algorithm, we prove that the Galois covers of the generic fiber of planar Zappatic deformations of type [Formula: see text] [Formula: see text] are simply-connected; we also compute their Chern numbers.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196719500358

Reference36 articles.

1. Braid monodromy factorization for a non-prime K3 surface branch curve

2. Links arising from braid monodromy factorizations

3. The fundamental group of the complement of the branch curve of the second Hirzebruch surface

4. The fundamental group of the complement of the branch curve of ℂℙ1 × T

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