Delta-invariants of complete intersection log del Pezzo surfaces

In Kyun Kim, Joonyeong Won

Research output: Contribution to journalArticlepeer-review

Abstract

We show that complete intersection log del Pezzo surfaces with amplitude one in weighted projective spaces are uniformly -stable. As a result, they admit an orbifold Kähler-Einstein metric.

Original languageEnglish
Pages (from-to)1021-1036
Number of pages16
JournalRoyal Society of Edinburgh - Proceedings A
Volume153
Issue number3
DOIs
StatePublished - 23 Jun 2023

Bibliographical note

Funding Information:
The authors are very grateful to the referee for valuable suggestions and comments. I.-K. Kim and J. Won were supported by NRF grant funded by the Korea government (MSIT) (I.-K. Kim: NRF-2020R1A2C4002510, J. Won: NRF-2020R1A2C1A01008018). J. Won was supported by the Ewha Womans University Research Grant of 2022.

Publisher Copyright:
Copyright © The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh.

Keywords

  • complete intersection
  • del Pezzo surface
  • delta invariant
  • K-stability

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