Fundamental groups of Galois covers of Zappatic surfaces
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.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Geometry and complex manifolds
Geometric and Algebraic Topology
Publication details
- Journal / source
- International Journal of Algebra and Computation
- Volume
- 36
- Issue
- 05
- Pages
- 607–624
- Publication date
- 27 February 2026
- Language
- EN