In this paper we provide conditions that are sufficient to guarantee the existence of extremal metrics on blowups at finitely many points of Ka ̈ hler 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.
EXTREMAL METRICS ON BLOWUPS / C. AREZZO; F. PACARD; M. SINGER. - In: DUKE MATHEMATICAL JOURNAL. - ISSN 0012-7094. - 157(2011), pp. 1-51. [10.1215/00127094-2011-001]