On the Cheltsov–Rubinstein Conjecture

Kento Fujita; Yuchen Liu; Hendrik Süss; Kewei Zhang; Ziquan Zhuang

doi:10.1007/978-3-031-17859-7_43

On the Cheltsov–Rubinstein Conjecture

Kento Fujita, Yuchen Liu, Hendrik Süss, Kewei Zhang^*, Ziquan Zhuang

^*Corresponding author for this work

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this note we investigate the Cheltsov–Rubinstein conjecture. We show that this conjecture does not hold in general and some counterexamples will be presented.

Original language	English (US)
Title of host publication	Birational Geometry, Kähler–Einstein Metrics and Degenerations
Editors	Ivan Cheltsov, Xiuxiong Chen, Ludmil Katzarkov, Jihun Park
Publisher	Springer
Pages	865-883
Number of pages	19
ISBN (Print)	9783031178580
DOIs	https://doi.org/10.1007/978-3-031-17859-7_43
State	Published - 2023
Event	International Conference on Birational Geometry, Kaehler-Einstein Metrics and Degenerations, BGKEMD 2019 - Moscow, Russian Federation Duration: Apr 8 2019 → Apr 13 2019

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	409
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	International Conference on Birational Geometry, Kaehler-Einstein Metrics and Degenerations, BGKEMD 2019
Country/Territory	Russian Federation
City	Moscow
Period	4/8/19 → 4/13/19

Keywords

Asymptotically log Fano vartieties
Asymptotically log del Pezzo surfaces
K-stability

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-3-031-17859-7_43

Cite this

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title = "On the Cheltsov–Rubinstein Conjecture",

abstract = "In this note we investigate the Cheltsov–Rubinstein conjecture. We show that this conjecture does not hold in general and some counterexamples will be presented.",

keywords = "Asymptotically log Fano vartieties, Asymptotically log del Pezzo surfaces, K-stability",

author = "Kento Fujita and Yuchen Liu and Hendrik S{\"u}ss and Kewei Zhang and Ziquan Zhuang",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; International Conference on Birational Geometry, Kaehler-Einstein Metrics and Degenerations, BGKEMD 2019 ; Conference date: 08-04-2019 Through 13-04-2019",

year = "2023",

doi = "10.1007/978-3-031-17859-7_43",

language = "English (US)",

isbn = "9783031178580",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "865--883",

editor = "Ivan Cheltsov and Xiuxiong Chen and Ludmil Katzarkov and Jihun Park",

booktitle = "Birational Geometry, K{\"a}hler–Einstein Metrics and Degenerations",

}

Fujita, K, Liu, Y, Süss, H, Zhang, K & Zhuang, Z 2023, On the Cheltsov–Rubinstein Conjecture. in I Cheltsov, X Chen, L Katzarkov & J Park (eds), Birational Geometry, Kähler–Einstein Metrics and Degenerations. Springer Proceedings in Mathematics and Statistics, vol. 409, Springer, pp. 865-883, International Conference on Birational Geometry, Kaehler-Einstein Metrics and Degenerations, BGKEMD 2019, Moscow, Russian Federation, 4/8/19. https://doi.org/10.1007/978-3-031-17859-7_43

On the Cheltsov–Rubinstein Conjecture. / Fujita, Kento; Liu, Yuchen; Süss, Hendrik et al.
Birational Geometry, Kähler–Einstein Metrics and Degenerations. ed. / Ivan Cheltsov; Xiuxiong Chen; Ludmil Katzarkov; Jihun Park. Springer, 2023. p. 865-883 (Springer Proceedings in Mathematics and Statistics; Vol. 409).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - On the Cheltsov–Rubinstein Conjecture

AU - Fujita, Kento

AU - Liu, Yuchen

AU - Süss, Hendrik

AU - Zhang, Kewei

AU - Zhuang, Ziquan

PY - 2023

Y1 - 2023

N2 - In this note we investigate the Cheltsov–Rubinstein conjecture. We show that this conjecture does not hold in general and some counterexamples will be presented.

AB - In this note we investigate the Cheltsov–Rubinstein conjecture. We show that this conjecture does not hold in general and some counterexamples will be presented.

KW - Asymptotically log Fano vartieties

KW - Asymptotically log del Pezzo surfaces

KW - K-stability

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SN - 9783031178580

T3 - Springer Proceedings in Mathematics and Statistics

SP - 865

EP - 883

BT - Birational Geometry, Kähler–Einstein Metrics and Degenerations

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A2 - Chen, Xiuxiong

A2 - Katzarkov, Ludmil

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PB - Springer

T2 - International Conference on Birational Geometry, Kaehler-Einstein Metrics and Degenerations, BGKEMD 2019

Y2 - 8 April 2019 through 13 April 2019

ER -

On the Cheltsov–Rubinstein Conjecture

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

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