On Galois covers of a union of zappatic surfaces of type $$R_k$$

• DOI: 10.1007/s13348-024-00460-w
• Publication Date: 2024-11-20T14:05:14Z
• Authors: Meirav Amram; Cheng Gong; Jia-Li Mo
• Keywords: Mathematics - Algebraic Geometry; 05E15, 14J10, 14J25, 14N20

Abstract We investigate the topological structures of Galois covers a union two Zappatic surfaces type $$R_k$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>R</mml:mi> <mml:mi>k</mml:mi> </mml:msub> </mml:math> . prove that such are simply connected general type. also compute their Chern numbers and indices.