Weakly exceptional singularities of log del Pezzo surfaces

In Kyun Kim, Joonyeong Won

Research output: Contribution to journalArticlepeer-review

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We complete the computation of global log canonical thresholds, or equivalently alpha invariants, of quasi-smooth well-formed complete intersection log del Pezzo surfaces of amplitude 1 in weighted projective spaces. As an application, we prove that they are weakly exceptional. And we investigate the super-rigid affine Fano 3-folds containing a log del Pezzo surface as boundary.

Original languageEnglish
Article number1950010
JournalInternational Journal of Mathematics
Issue number1
StatePublished - 1 Jan 2019

Bibliographical note

Funding Information:
The first author was supported by BK21 PLUS SNU Mathematical Sciences Division and the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. NRF-2017R1C1B1011921). The second author was supported by IBS-R003-D1, Institute for Basic Science in Korea.

Publisher Copyright:
© 2019 World Scientific Publishing Company.


  • affine super-rigidity
  • alpha invariant
  • Log del Pezzo
  • weakly exceptional singularity


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