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

School of Mathematics

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

Abstract / Description of output

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 Kahler metrics on polarized smooth del Pezzo surfaces.

Original language	English
Number of pages	42
Journal	Transactions of the American Mathematical Society
Early online date	5 Aug 2019
DOIs	https://doi.org/10.1090/tran/7900
Publication status	E-pub ahead of print - 5 Aug 2019

Keywords / Materials (for Non-textual outputs)

math.AG
14J45, 14J26, 32Q15, 32Q26

Access to Document

10.1090/tran/7900

1707.06177v1Submitted manuscript, 855 KB
1707.06177Accepted author manuscript, 878 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND)

Cite this

@article{e3d8620a1eb34e328365966e65b42eb5,

title = "Unstable polarized del Pezzo surfaces",

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 Kahler metrics on polarized smooth del Pezzo surfaces. ",

keywords = "math.AG, 14J45, 14J26, 32Q15, 32Q26",

author = "Ivan Cheltsov and Jesus Martinez-Garcia",

note = "35 pages and 64 pages of symbolic computations",

year = "2019",

month = aug,

day = "5",

doi = "10.1090/tran/7900",

language = "English",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

}

TY - JOUR

T1 - Unstable polarized del Pezzo surfaces

AU - Cheltsov, Ivan

AU - Martinez-Garcia, Jesus

N1 - 35 pages and 64 pages of symbolic computations

PY - 2019/8/5

Y1 - 2019/8/5

N2 - 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 Kahler metrics on polarized smooth del Pezzo surfaces.

AB - 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 Kahler metrics on polarized smooth del Pezzo surfaces.

KW - math.AG

KW - 14J45, 14J26, 32Q15, 32Q26

U2 - 10.1090/tran/7900

DO - 10.1090/tran/7900

M3 - Article

SN - 0002-9947

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

ER -

Unstable polarized del Pezzo surfaces

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

Access to Document

Fingerprint

Cite this