On Singular Del Pezzo Hypersurfaces of Index 3

In Kyun Kim, Nivedita Viswanathan, Joonyeong Won

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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 languageEnglish
Title of host publicationBirational Geometry, Kähler–Einstein Metrics and Degenerations
EditorsIvan Cheltsov, Xiuxiong Chen, Ludmil Katzarkov, Jihun Park
PublisherSpringer
Pages409-422
Number of pages14
ISBN (Print)9783031178580
DOIs
StatePublished - 2023
EventInternational Conference on Birational Geometry, Kaehler-Einstein Metrics and Degenerations, BGKEMD 2019 - Moscow, Russian Federation
Duration: 8 Apr 201913 Apr 2019

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume409
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Conference on Birational Geometry, Kaehler-Einstein Metrics and Degenerations, BGKEMD 2019
Country/TerritoryRussian Federation
CityMoscow
Period8/04/1913/04/19

Bibliographical note

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

Keywords

  • Fano varieties
  • K-stability
  • del Pezzo surfaces

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