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

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

We investigate the topological structures of Galois covers of a union of two Zappatic surfaces of type $R_k$. We prove that the Galois covers of such surfaces are simply-connected surfaces of general type. We also compute their Chern numbers and topological indices.

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Hauptverfasser: Amram, Meirav, Gong, Cheng, Mo, Jia-Li
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
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Zusammenfassung:We investigate the topological structures of Galois covers of a union of two Zappatic surfaces of type $R_k$. We prove that the Galois covers of such surfaces are simply-connected surfaces of general type. We also compute their Chern numbers and topological indices.
DOI:10.48550/arxiv.2401.06170