Extremal metrics on blowups
Arezzo, Claudio ; Pacard, Frank ; Singer, Michael
Duke Math. J., Tome 156 (2011) no. 1, p. 1-51 / Harvested from Project Euclid
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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 $\mathbb {P}^2$ blown-up k points in general position, with $k \lt m+2$ .
Publié le : 2011-03-15
Classification:  32J27,  32Q15,  32Q20,  53C21,  53C55 
@article{1300281532,
     author = {Arezzo, Claudio and Pacard, Frank and Singer, Michael},
     title = {Extremal metrics on blowups},
     journal = {Duke Math. J.},
     volume = {156},
     number = {1},
     year = {2011},
     pages = { 1-51},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1300281532}
}

Arezzo, Claudio; Pacard, Frank; Singer, Michael. Extremal metrics on blowups. Duke Math. J., Tome 156 (2011) no. 1, pp.  1-51. http://gdmltest.u-ga.fr/item/1300281532/