@inproceedings{ad532ccb82114ecfad33b33824f658bc,
title = "Constant scalar curvature and extremal K{\"a}hler metrics on blow ups",
abstract = "Extremal K{\"a}hler metrics were introduced by E. Calabi as best representatives of a given K{\"a}hler class of a complex compact manifold, these metrics are critical points of the L2 norm of the scalar curvature function. In this paper, we report some joint works with C. Arezzo and M. Singer concerning the construction of extremal K{\"a}hler metrics on blow ups at finitely many points of K{\"a}hler manifolds which already carry an extremal K{\"a}hler metric. In particular, we give sufficient conditions on the number and locations of the blown up manifold points for the blow up to carry an extremal K{\"a}hler metric.",
keywords = "Extremal metrics, K{\"a}hler geometry, Perturbation methods",
author = "Frank Pacard",
year = "2010",
month = dec,
day = "1",
language = "English",
isbn = "9814324302",
series = "Proceedings of the International Congress of Mathematicians 2010, ICM 2010",
pages = "882--898",
booktitle = "Proceedings of the International Congress of Mathematicians 2010, ICM 2010",
note = "International Congress of Mathematicians 2010, ICM 2010 ; Conference date: 19-08-2010 Through 27-08-2010",
}