A Survey on Bergman Convergence on a Tower of Coverings

Jihun Yum

doi:10.1007/978-981-96-0447-0_17

A Survey on Bergman Convergence on a Tower of Coverings

Jihun Yum^*

^*Corresponding author for this work

Department of Mathematics Education

Research output: Contribution to conference › Conference paper › peer-review

Abstract

The present article aims to review some results concerning the asymptotic behavior of the Bergman kernels and Bergman metrics on a tower of coverings. We also present some ideas of the proofs.

Original language	English
Title of host publication	Complex Geometric Analysis - In Honor of Kang-Tae Kim’s 65th Birthday, 2022
Editors	Toshiyuki Sugawa, Young-Jun Choi, Sung-Yeon Kim, Kang-Tae Kim, Aeryeong Seo, Jisoo Byun, Jong-Do Park, Armen G. Sergeev, Kang-Hyurk Lee
Publisher	Springer
Pages	185-192
Number of pages	8
ISBN (Print)	9789819604463
DOIs	https://doi.org/10.1007/978-981-96-0447-0_17
State	Published - 2025
Event	Conference on Complex Geometric Analysis, CCGA 2022 - Pohang, Korea, Republic of Duration: 2022.01.11 → 2022.01.14

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	481
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	Conference on Complex Geometric Analysis, CCGA 2022
Country/Territory	Korea, Republic of
City	Pohang
Period	22.01.11 → 22.01.14

Keywords

Bergman kernel
Bergman metric
Tower of coverings

Quacquarelli Symonds(QS) Subject Topics

Mathematics

Access to Document

10.1007/978-981-96-0447-0_17

Cite this

Yum, J. (2025). A Survey on Bergman Convergence on a Tower of Coverings. In T. Sugawa, Y.-J. Choi, S.-Y. Kim, K.-T. Kim, A. Seo, J. Byun, J.-D. Park, A. G. Sergeev, & K.-H. Lee (Eds.), Complex Geometric Analysis - In Honor of Kang-Tae Kim’s 65th Birthday, 2022 (pp. 185-192). (Springer Proceedings in Mathematics and Statistics; Vol. 481). Springer. https://doi.org/10.1007/978-981-96-0447-0_17

Yum, Jihun. / A Survey on Bergman Convergence on a Tower of Coverings. Complex Geometric Analysis - In Honor of Kang-Tae Kim’s 65th Birthday, 2022. editor / Toshiyuki Sugawa ; Young-Jun Choi ; Sung-Yeon Kim ; Kang-Tae Kim ; Aeryeong Seo ; Jisoo Byun ; Jong-Do Park ; Armen G. Sergeev ; Kang-Hyurk Lee. Springer, 2025. pp. 185-192 (Springer Proceedings in Mathematics and Statistics).

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abstract = "The present article aims to review some results concerning the asymptotic behavior of the Bergman kernels and Bergman metrics on a tower of coverings. We also present some ideas of the proofs.",

keywords = "Bergman kernel, Bergman metric, Tower of coverings",

author = "Jihun Yum",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.; Conference on Complex Geometric Analysis, CCGA 2022 ; Conference date: 11-01-2022 Through 14-01-2022",

year = "2025",

doi = "10.1007/978-981-96-0447-0\_17",

language = "English",

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series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "185--192",

editor = "Toshiyuki Sugawa and Young-Jun Choi and Sung-Yeon Kim and Kang-Tae Kim and Aeryeong Seo and Jisoo Byun and Jong-Do Park and Sergeev, \{Armen G.\} and Kang-Hyurk Lee",

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Yum, J 2025, A Survey on Bergman Convergence on a Tower of Coverings. in T Sugawa, Y-J Choi, S-Y Kim, K-T Kim, A Seo, J Byun, J-D Park, AG Sergeev & K-H Lee (eds), Complex Geometric Analysis - In Honor of Kang-Tae Kim’s 65th Birthday, 2022. Springer Proceedings in Mathematics and Statistics, vol. 481, Springer, pp. 185-192, Conference on Complex Geometric Analysis, CCGA 2022, Pohang, Korea, Republic of, 22.01.11. https://doi.org/10.1007/978-981-96-0447-0_17

A Survey on Bergman Convergence on a Tower of Coverings. / Yum, Jihun.
Complex Geometric Analysis - In Honor of Kang-Tae Kim’s 65th Birthday, 2022. ed. / Toshiyuki Sugawa; Young-Jun Choi; Sung-Yeon Kim; Kang-Tae Kim; Aeryeong Seo; Jisoo Byun; Jong-Do Park; Armen G. Sergeev; Kang-Hyurk Lee. Springer, 2025. p. 185-192 (Springer Proceedings in Mathematics and Statistics; Vol. 481).

Research output: Contribution to conference › Conference paper › peer-review

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