Stable polarized del Pezzo surfaces

Ivan Cheltsov; Jesus Martinez-Garcia

doi:10.1093/imrn/rny182

Stable polarized del Pezzo surfaces

Ivan Cheltsov, Jesus Martinez-Garcia

Department of Mathematical Sciences

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Abstract

We give a simple sufficient condition for K-stability of polarized del Pezzo surfaces and for the existence of a constant scalar curvature Kahler metric in the Kahler class corresponding to the polarization.

Original language	English
Article number	rny182
Pages (from-to)	5477–5505
Number of pages	39
Journal	International Mathematics Research Notices
Volume	2020
Issue number	18
Early online date	26 Jul 2018
DOIs	https://doi.org/10.1093/imrn/rny182
Publication status	Published - 30 Sept 2020

Keywords

K-stability,
constant scalar curvature Kahler metric
alpha-invariant
del Pezzo surface.

ASJC Scopus subject areas

Geometry and Topology
Algebra and Number Theory

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10.1093/imrn/rny182

Stable polarized del Pezzo surfaces (submitted version)Submitted manuscript, 243 KB
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This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record is available online at: https://doi.org/10.1093/imrn/rny182
Accepted author manuscript, 371 KB

Cite this

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abstract = "We give a simple sufficient condition for K-stability of polarized del Pezzo surfaces and for the existence of a constant scalar curvature Kahler metric in the Kahler class corresponding to the polarization.",

keywords = "K-stability,, constant scalar curvature Kahler metric, alpha-invariant, del Pezzo surface.",

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KW - alpha-invariant

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JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 18

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Stable polarized del Pezzo surfaces

Abstract

Keywords

ASJC Scopus subject areas

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Cite this