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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doi = "10.1002/mana.201500232",

language = "English",

volume = "290",

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T1 - Alpha invariant for general polarizations of del Pezzo surfaces of degree 1

AU - Hong, Kyusik

AU - Won, Joonyeong

PY - 2017/8

Y1 - 2017/8

N2 - 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.

AB - 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.

KW - K-stability

KW - del Pezzo surface

KW - α-invariant of Tian

UR - https://www.scopus.com/pages/publications/85008162777

U2 - 10.1002/mana.201500232

DO - 10.1002/mana.201500232

M3 - Article

AN - SCOPUS:85008162777

SN - 0025-584X

VL - 290

SP - 1689

EP - 1700

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 11-12

ER -