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 $$R_k$$ 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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Veröffentlicht in:Collectanea mathematica (Barcelona) 2024-11
Hauptverfasser: Amram, Meirav, Gong, Cheng, Mo, Jia-Li
Format: Artikel
Sprache:eng
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Zusammenfassung:We investigate the topological structures of Galois covers of a union of two Zappatic surfaces of type $$R_k$$ 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.
ISSN:0010-0757
2038-4815
DOI:10.1007/s13348-024-00460-w