Fundamental groups of Galois covers of Zappatic surfaces

Key Points

• The study aims to analyze the fundamental groups of Galois covers of zappatic surfaces and explore their properties.
• Provided a combinatorial description for simply connected Galois covers.
• Computed Chern numbers and signatures of the Galois covers.
• Examined applications to Hirzebruch and Veronese surfaces.
• Described conditions under which Galois covers of degeneration are simply connected.
• Calculated specific Chern numbers and signatures for various cases.