On Galois covers of a union of zappatic surfaces of type $$R_k$$
Abstract We investigate the topological structures of Galois covers of a union of two Zappatic surfaces of 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> . 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.
Authors
- Meirav Amram (ORCID: https://orcid.org/0000-0003-4912-4672)
- Jia‐Li Mo
- Cheng Gong (ORCID: https://orcid.org/0000-0002-1527-7366)
Institutions
- Tel Aviv University (IL)
- Sami Shamoon College of Engineering (IL)
- Soochow University (CN)
Publication Details
- Journal
- Collectanea mathematica
- Published
- 2024-11-20
- DOI
- https://doi.org/10.1007/s13348-024-00460-w
- Citations
- 2
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 2.02
Funders
- National Natural Science Foundation of China
- Government of Jiangsu Province
- Tel Aviv University
- Natural Science Foundation of Jiangsu Province