On the Galois covers of degenerations of surfaces of minimal degree

Meirav Amram; Cheng Gong; Jia Li Mo

doi:10.1002/mana.202100183

On the Galois covers of degenerations of surfaces of minimal degree

Meirav Amram
, Cheng Gong
, Jia Li Mo

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We investigate the topological structures of Galois covers of surfaces of minimal degree (i.e., degree n) in (Formula presented.). We prove that for (Formula presented.), the Galois covers of any surfaces of minimal degree are simply-connected surfaces of general type.

Original language	English
Pages (from-to)	1351-1365
Number of pages	15
Journal	Mathematische Nachrichten
Volume	296
Issue number	4
DOIs	https://doi.org/10.1002/mana.202100183
State	Published - Apr 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023 Wiley-VCH GmbH.

Funding

We thank Dr. Yi Gu for useful discussions about the degeneration of surfaces. We also thank two anonymous referees for great comments and suggestions. This research was supported by the NSFC and ISF‐NSFC joint research program (grant no. 2452/17). It was also partly supported by the Natural Science Foundation of Jiangsu Province (grant no. BK20211305 and BK20181427). We thank Dr. Yi Gu for useful discussions about the degeneration of surfaces. We also thank two anonymous referees for great comments and suggestions. This research was supported by the NSFC and ISF-NSFC joint research program (grant no. 2452/17). It was also partly supported by the Natural Science Foundation of Jiangsu Province (grant no. BK20211305 and BK20181427).

Funders	Funder number
ISF-NSFC
ISF-NSFC	2452/17
National Natural Science Foundation of China
Natural Science Foundation of Jiangsu Province	BK20211305, BK20181427

Keywords

Galois cover
Zappatic surface
fundamental group
surface of minimal degree

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10.1002/mana.202100183

Cite this

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AU - Gong, Cheng

AU - Mo, Jia Li

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AB - We investigate the topological structures of Galois covers of surfaces of minimal degree (i.e., degree n) in (Formula presented.). We prove that for (Formula presented.), the Galois covers of any surfaces of minimal degree are simply-connected surfaces of general type.

KW - Galois cover

KW - Zappatic surface

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On the Galois covers of degenerations of surfaces of minimal degree

Abstract

Bibliographical note

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Keywords

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