EXTREMAL METRICS ON BLOWUPS

Claudio Arezzo; Frank Pacard; Michael Singer

doi:10.1215/00127094-2011-001

EXTREMAL METRICS ON BLOWUPS

Claudio Arezzo, Frank Pacard, Michael Singer

School of Mathematics

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

Abstract / Description of output

In this paper we provide conditions that are sufficient to guarantee the existence of extremal metrics on blowups at finitely many points of Kahler manifolds which already carry an extremal metric. As a particular case, we construct extremal metrics on P-2 blown-up k points in general position, with k < m + 2.

Original language	English
Pages (from-to)	151
Number of pages	51
Journal	Duke Mathematical Journal
Volume	157
Issue number	1
DOIs	https://doi.org/10.1215/00127094-2011-001
Publication status	Published - 15 Mar 2011

Keywords / Materials (for Non-textual outputs)

CONSTANT SCALAR CURVATURE
KAHLER-EINSTEIN METRICS
TORIC SURFACES
BLOWING-UP
MANIFOLDS
STABILITY

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10.1215/00127094-2011-001

Cite this

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title = "EXTREMAL METRICS ON BLOWUPS",

abstract = "In this paper we provide conditions that are sufficient to guarantee the existence of extremal metrics on blowups at finitely many points of Kahler manifolds which already carry an extremal metric. As a particular case, we construct extremal metrics on P-2 blown-up k points in general position, with k < m + 2.",

keywords = "CONSTANT SCALAR CURVATURE, KAHLER-EINSTEIN METRICS, TORIC SURFACES, BLOWING-UP, MANIFOLDS, STABILITY",

author = "Claudio Arezzo and Frank Pacard and Michael Singer",

year = "2011",

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AU - Pacard, Frank

AU - Singer, Michael

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AB - In this paper we provide conditions that are sufficient to guarantee the existence of extremal metrics on blowups at finitely many points of Kahler manifolds which already carry an extremal metric. As a particular case, we construct extremal metrics on P-2 blown-up k points in general position, with k < m + 2.

KW - CONSTANT SCALAR CURVATURE

KW - KAHLER-EINSTEIN METRICS

KW - TORIC SURFACES

KW - BLOWING-UP

KW - MANIFOLDS

KW - STABILITY

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M3 - Article

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VL - 157

SP - 151

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 1

ER -

EXTREMAL METRICS ON BLOWUPS

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

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