Embedding periodic maps of surfaces into those of spheres with minimal dimensions

Chao Wang; Shicheng Wang; Zhongzi Wang

doi:10.1007/s11425-024-2373-5

Embedding periodic maps of surfaces into those of spheres with minimal dimensions

Chao Wang
, Shicheng Wang^*
, Zhongzi Wang

^*此作品的通讯作者

数学科学学院

Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

It is known that any periodic map of order n on a closed oriented surface of genus g can be equivariantly embedded into S^m for some m. In the orientable and smooth category, we determine the smallest possible m when n ⩾ 3g. We show that for each integer k > 1, there exist infinitely many periodic maps such that the smallest possible m is equal to k.

源语言	英语
页（从-至）	2451-2468
页数	18
期刊	Science China Mathematics
卷	68
期	10
DOI	https://doi.org/10.1007/s11425-024-2373-5
出版状态	已出版 - 10月 2025

访问文件

10.1007/s11425-024-2373-5

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{8d97a6ced50941c7b8f41138a549df05,

title = "Embedding periodic maps of surfaces into those of spheres with minimal dimensions",

abstract = "It is known that any periodic map of order n on a closed oriented surface of genus g can be equivariantly embedded into Sm for some m. In the orientable and smooth category, we determine the smallest possible m when n ⩾ 3g. We show that for each integer k > 1, there exist infinitely many periodic maps such that the smallest possible m is equal to k.",

keywords = "57M12, 57M60, 57R40, equivariant embedding, orbifold, periodic map",

author = "Chao Wang and Shicheng Wang and Zhongzi Wang",

note = "Publisher Copyright: {\textcopyright} Science China Press 2025.",

year = "2025",

month = oct,

doi = "10.1007/s11425-024-2373-5",

language = "英语",

volume = "68",

pages = "2451--2468",

journal = "Science China Mathematics",

issn = "1674-7283",

publisher = "Science China Press ",

number = "10",

}

TY - JOUR

T1 - Embedding periodic maps of surfaces into those of spheres with minimal dimensions

AU - Wang, Chao

AU - Wang, Shicheng

AU - Wang, Zhongzi

N1 - Publisher Copyright: © Science China Press 2025.

PY - 2025/10

Y1 - 2025/10

N2 - It is known that any periodic map of order n on a closed oriented surface of genus g can be equivariantly embedded into Sm for some m. In the orientable and smooth category, we determine the smallest possible m when n ⩾ 3g. We show that for each integer k > 1, there exist infinitely many periodic maps such that the smallest possible m is equal to k.

AB - It is known that any periodic map of order n on a closed oriented surface of genus g can be equivariantly embedded into Sm for some m. In the orientable and smooth category, we determine the smallest possible m when n ⩾ 3g. We show that for each integer k > 1, there exist infinitely many periodic maps such that the smallest possible m is equal to k.

KW - 57M12

KW - 57M60

KW - 57R40

KW - equivariant embedding

KW - orbifold

KW - periodic map

UR - https://www.scopus.com/pages/publications/105003917129

U2 - 10.1007/s11425-024-2373-5

DO - 10.1007/s11425-024-2373-5

M3 - 文章

AN - SCOPUS:105003917129

SN - 1674-7283

VL - 68

SP - 2451

EP - 2468

JO - Science China Mathematics

JF - Science China Mathematics

IS - 10

ER -

Embedding periodic maps of surfaces into those of spheres with minimal dimensions

摘要

访问文件

其它文件与链接

指纹

引用此