Unstable singular del Pezzo hypersurfaces with lower index

In Kyun Kim; Joonyeong Won

doi:10.1080/00927872.2021.1880591

Unstable singular del Pezzo hypersurfaces with lower index

In Kyun Kim, Joonyeong Won

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

5 Scopus citations

Abstract

We give examples of K-unstable singular del Pezzo surfaces which are weighted hypersurfaces with index 2.

Original language	English
Pages (from-to)	2679-2688
Number of pages	10
Journal	Communications in Algebra
Volume	49
Issue number	6
DOIs	https://doi.org/10.1080/00927872.2021.1880591
State	Published - 2021
Externally published	Yes

Bibliographical note

Funding Information:
The first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2020R1A2C4002510). The second author was supported by the National Research Foundation of Korea (NRF-2020R1A2C1A01008018) and a KIAS Individual Grant (SP037003) via the Center for Mathematical Challenges at Korea Institute for Advanced Study.

Publisher Copyright:
© 2021 Taylor & Francis Group, LLC.

Keywords

Del Pezzo surface
K-stability
Kaehler-Einstein metric

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10.1080/00927872.2021.1880591

Cite this

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title = "Unstable singular del Pezzo hypersurfaces with lower index",

abstract = "We give examples of K-unstable singular del Pezzo surfaces which are weighted hypersurfaces with index 2.",

keywords = "Del Pezzo surface, K-stability, Kaehler-Einstein metric",

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

note = "Funding Information: The first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2020R1A2C4002510). The second author was supported by the National Research Foundation of Korea (NRF-2020R1A2C1A01008018) and a KIAS Individual Grant (SP037003) via the Center for Mathematical Challenges at Korea Institute for Advanced Study. Publisher Copyright: {\textcopyright} 2021 Taylor \& Francis Group, LLC.",

year = "2021",

doi = "10.1080/00927872.2021.1880591",

language = "English",

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journal = "Communications in Algebra",

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T1 - Unstable singular del Pezzo hypersurfaces with lower index

AU - Kim, In Kyun

AU - Won, Joonyeong

N1 - Funding Information: The first author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2020R1A2C4002510). The second author was supported by the National Research Foundation of Korea (NRF-2020R1A2C1A01008018) and a KIAS Individual Grant (SP037003) via the Center for Mathematical Challenges at Korea Institute for Advanced Study. Publisher Copyright: © 2021 Taylor & Francis Group, LLC.

PY - 2021

Y1 - 2021

N2 - We give examples of K-unstable singular del Pezzo surfaces which are weighted hypersurfaces with index 2.

AB - We give examples of K-unstable singular del Pezzo surfaces which are weighted hypersurfaces with index 2.

KW - Del Pezzo surface

KW - K-stability

KW - Kaehler-Einstein metric

UR - https://www.scopus.com/pages/publications/85100876839

U2 - 10.1080/00927872.2021.1880591

DO - 10.1080/00927872.2021.1880591

M3 - Article

AN - SCOPUS:85100876839

SN - 0092-7872

VL - 49

SP - 2679

EP - 2688

JO - Communications in Algebra

JF - Communications in Algebra

IS - 6

ER -

Unstable singular del Pezzo hypersurfaces with lower index

Abstract

Bibliographical note

Keywords

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