Weakly exceptional singularities of log del Pezzo surfaces

In Kyun Kim; Joonyeong Won

doi:10.1142/S0129167X19500101

Weakly exceptional singularities of log del Pezzo surfaces

In Kyun Kim, Joonyeong Won

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 language	English
Article number	1950010
Journal	International Journal of Mathematics
Volume	30
Issue number	1
DOIs	https://doi.org/10.1142/S0129167X19500101
State	Published - 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.

Keywords

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

Access to Document

10.1142/S0129167X19500101

Cite this

@article{87f9705a907041ec9d477c405a3abbf3,

title = "Weakly exceptional singularities of log del Pezzo surfaces",

abstract = "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.",

keywords = "affine super-rigidity, alpha invariant, Log del Pezzo, weakly exceptional singularity",

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

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: {\textcopyright} 2019 World Scientific Publishing Company.",

year = "2019",

month = jan,

day = "1",

doi = "10.1142/S0129167X19500101",

language = "English",

volume = "30",

journal = "International Journal of Mathematics",

issn = "0129-167X",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "1",

}

TY - JOUR

T1 - Weakly exceptional singularities of log del Pezzo surfaces

AU - Kim, In Kyun

AU - Won, Joonyeong

N1 - 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.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - affine super-rigidity

KW - alpha invariant

KW - Log del Pezzo

KW - weakly exceptional singularity

UR - http://www.scopus.com/inward/record.url?scp=85061265115&partnerID=8YFLogxK

U2 - 10.1142/S0129167X19500101

DO - 10.1142/S0129167X19500101

M3 - Article

AN - SCOPUS:85061265115

SN - 0129-167X

VL - 30

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 1

M1 - 1950010

ER -

Weakly exceptional singularities of log del Pezzo surfaces

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this