Geodesic
Blowing up Kähler manifolds with constant scalar curvature, II
Claudio Arezzo1 ; Frank Pacard2
1 Università di Parma<br/>Parco delle Scienze 45/A<br/>43100 Parma<br/>Italy
2 Institut Universitaire de France and Université Paris 12 - Val de Marne<br/>61, avenue du Général de Gaulle<br/>94010 Créteil<br/>France
Annals of mathematics, Tome 170 (2009) no. 2, pp. 685-738.

Voir la notice de l'article provenant de la source Annals of Mathematics website

In this paper we prove the existence of Kähler metrics of constant scalar curvature on the blow up at finitely many points of a compact manifold that already carries a constant scalar curvature Kähler metric. In the case where the manifold has nontrivial holomorphic vector fields with zeros, we give necessary conditions on the number and locations of the blow up points for the blow up to carry constant scalar curvature Kähler metrics.
DOI : 10.4007/annals.2009.170.685

Claudio Arezzo 1 ; Frank Pacard 2

1 Università di Parma<br/>Parco delle Scienze 45/A<br/>43100 Parma<br/>Italy
2 Institut Universitaire de France and Université Paris 12 - Val de Marne<br/>61, avenue du Général de Gaulle<br/>94010 Créteil<br/>France 
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     title = {Blowing up {K\"ahler} manifolds with constant scalar curvature, {II}},
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Claudio Arezzo; Frank Pacard. Blowing up Kähler manifolds with constant scalar curvature, II. Annals of mathematics, Tome 170 (2009) no. 2, pp. 685-738. doi : 10.4007/annals.2009.170.685. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.170.685/

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