Fundamental groups of Galois covers of Zappatic surfaces

In this paper, we study Zappatic surfaces. We give a combinatorial description of whether the Galois cover of degeneration of a surface to a union of planes is simply connected. Additionally, we compute Chern numbers and the signatures of the Galois covers of the surfaces and present applications to Hirzebruch and Veronese surfaces.

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Publication Details

Journal
International Journal of Algebra and Computation
Published
2026-02-27
DOI
https://doi.org/10.1142/s0218196726500219
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Fundamental groups of Galois covers of Zappatic surfaces

Jia‐Li Mo, Cheng Gong
International Journal of Algebra and Computation
Algebraic Geometry and Number Theory
article

Fundamental groups of Galois covers of Zappatic surfaces

Jia‐Li Mo, Cheng Gong
article en

Abstract

In this paper, we study Zappatic surfaces. We give a combinatorial description of whether the Galois cover of degeneration of a surface to a union of planes is simply connected. Additionally, we compute Chern numbers and the signatures of the Galois covers of the surfaces and present applications to Hirzebruch and Veronese surfaces.

International Journal of Algebra and Computation
Anhui University of Science and Technology (CN), Soochow University (CN), Anhui Science and Technology University (CN)
Openalex Percentile: Top 37%
Algebraic Geometry and Number Theory
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