On Singular Del Pezzo Hypersurfaces of Index 3

In Kyun Kim; Nivedita Viswanathan; Joonyeong Won

doi:10.1007/978-3-031-17859-7_21

On Singular Del Pezzo Hypersurfaces of Index 3

In Kyun Kim, Nivedita Viswanathan, Joonyeong Won

Department of Mathematics

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

1 Scopus citations

Abstract

We determine the existence of Kähler-Einstein metrics on singular del Pezzo surfaces with quotient singularities which are hypersurfaces of index 3 in weighted projective spaces.

Original language	English
Title of host publication	Birational Geometry, Kähler–Einstein Metrics and Degenerations
Editors	Ivan Cheltsov, Xiuxiong Chen, Ludmil Katzarkov, Jihun Park
Publisher	Springer
Pages	409-422
Number of pages	14
ISBN (Print)	9783031178580
DOIs	https://doi.org/10.1007/978-3-031-17859-7_21
State	Published - 2023
Event	International Conference on Birational Geometry, Kaehler-Einstein Metrics and Degenerations, BGKEMD 2019 - Moscow, Russian Federation Duration: 8 Apr 2019 → 13 Apr 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	8/04/19 → 13/04/19

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Fano varieties
K-stability
del Pezzo surfaces

Access to Document

10.1007/978-3-031-17859-7_21

Cite this

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title = "On Singular Del Pezzo Hypersurfaces of Index 3",

abstract = "We determine the existence of K{\"a}hler-Einstein metrics on singular del Pezzo surfaces with quotient singularities which are hypersurfaces of index 3 in weighted projective spaces.",

keywords = "Fano varieties, K-stability, del Pezzo surfaces",

author = "Kim, \{In Kyun\} and Nivedita Viswanathan and Joonyeong Won",

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\_21",

language = "English",

isbn = "9783031178580",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "409--422",

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

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

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Kim, IK, Viswanathan, N & Won, J 2023, On Singular Del Pezzo Hypersurfaces of Index 3. 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. 409-422, International Conference on Birational Geometry, Kaehler-Einstein Metrics and Degenerations, BGKEMD 2019, Moscow, Russian Federation, 8/04/19. https://doi.org/10.1007/978-3-031-17859-7_21

On Singular Del Pezzo Hypersurfaces of Index 3. / Kim, In Kyun; Viswanathan, Nivedita; Won, Joonyeong.
Birational Geometry, Kähler–Einstein Metrics and Degenerations. ed. / Ivan Cheltsov; Xiuxiong Chen; Ludmil Katzarkov; Jihun Park. Springer, 2023. p. 409-422 (Springer Proceedings in Mathematics and Statistics; Vol. 409).

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

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