Unstable polarized del Pezzo surfaces

Ivan Cheltsov; Jesus Martinez-Garcia

doi:10.1090/tran/7900

Unstable polarized del Pezzo surfaces

Ivan Cheltsov, Jesus Martinez-Garcia

Department of Mathematical Sciences

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Abstract

We provide new examples of K-unstable polarized smooth del Pezzo surfaces using a flopped version first used by Cheltsov and Rubinstein of the test configurations introduced by Ross and Thomas. As an application, we provide new obstructions for the existence of constant scalar curvature Kähler metrics on polarized smooth del Pezzo surfaces.

Original language	English
Pages (from-to)	7255-7296
Number of pages	42
Journal	Transactions of the American Mathematical Society
Volume	372
Issue number	10
Early online date	5 Aug 2019
DOIs	https://doi.org/10.1090/tran/7900
Publication status	Published - 15 Nov 2019

Keywords

CscK metric
Del Pezzo surface
Flop
K-stability
Slope stability

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/tran/7900

unstable20-journal.PDF
First published in Transactions of the American Mathematical Society August 5 2019, published by the American Mathematical Society. © Copyright 2019 American Mathematical Society.
Accepted author manuscript, 498 KBLicence: CC BY-NC-ND

Cite this

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title = "Unstable polarized del Pezzo surfaces",

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KW - Del Pezzo surface

KW - Flop

KW - K-stability

KW - Slope stability

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Unstable polarized del Pezzo surfaces

Abstract

Keywords

ASJC Scopus subject areas

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