Alpha invariant for general polarizations of del Pezzo surfaces of degree 1

Kyusik Hong; Joonyeong Won

doi:10.1002/mana.201500232

Alpha invariant for general polarizations of del Pezzo surfaces of degree 1

Kyusik Hong, Joonyeong Won

Department of Mathematics

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

2 Scopus citations

Abstract

For an arbitrary ample divisor A in smooth del Pezzo surface S of degree 1, we verify the condition of the polarization (S, A) to be K-stable and it is a simple numerical condition.

Original language	English
Pages (from-to)	1689-1700
Number of pages	12
Journal	Mathematische Nachrichten
Volume	290
Issue number	11-12
DOIs	https://doi.org/10.1002/mana.201500232
State	Published - Aug 2017

Bibliographical note

Publisher Copyright:
© 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Keywords

K-stability
del Pezzo surface
α-invariant of Tian

Access to Document

10.1002/mana.201500232

Cite this

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title = "Alpha invariant for general polarizations of del Pezzo surfaces of degree 1",

abstract = "For an arbitrary ample divisor A in smooth del Pezzo surface S of degree 1, we verify the condition of the polarization (S, A) to be K-stable and it is a simple numerical condition.",

keywords = "K-stability, del Pezzo surface, α-invariant of Tian",

author = "Kyusik Hong and Joonyeong Won",

note = "Publisher Copyright: {\textcopyright} 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim",

year = "2017",

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language = "English",

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AU - Won, Joonyeong

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KW - K-stability

KW - del Pezzo surface

KW - α-invariant of Tian

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DO - 10.1002/mana.201500232

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JF - Mathematische Nachrichten

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