15 March 2011 Extremal metrics on blowups
Claudio Arezzo, Frank Pacard, Michael Singer
Author Affiliations +
Duke Math. J. 157(1): 1-51 (15 March 2011). DOI: 10.1215/00127094-2011-001

Abstract

In this paper we provide conditions that are sufficient to guarantee the existence of extremal metrics on blowups at finitely many points of Kähler manifolds which already carry an extremal metric. As a particular case, we construct extremal metrics on P2 blown-up k points in general position, with k<m+2.

Citation

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Claudio Arezzo. Frank Pacard. Michael Singer. "Extremal metrics on blowups." Duke Math. J. 157 (1) 1 - 51, 15 March 2011. https://doi.org/10.1215/00127094-2011-001

Information

Published: 15 March 2011
First available in Project Euclid: 16 March 2011

zbMATH: 1221.32008
MathSciNet: MR2783927
Digital Object Identifier: 10.1215/00127094-2011-001

Subjects:
Primary: 32J27
Secondary: 32Q15 , 32Q20 , 53C21 , 53C55

Rights: Copyright © 2011 Duke University Press

Vol.157 • No. 1 • 15 March 2011
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