Some 20 years ago, Arezzo and Pacard established that the existence of extremal Kähler metrics on a compact Kähler manifold is preserved under certain point blowups. This was later extended by Seyyadili-Szekelyhidi to blowups of certain higher dimensional submanifolds, and, quite recently, to the case of weighted extremal metrics, by Hallam. In this talk we present a new approach unifying both cases, based on the properness of the Mabuchi K-energy. This is joint work with Mattias Jonsson and Antonio Trusiani.
By Thomas Peternell
By Robert Berman
By Gergerly Bérczi
By Simone Diverio
By Mihai Păun
By Jun-Muk Hwang
By Henri Guenancia
By Cinzia Casagrande
By Sébastien Boucksom
By Renaud Detcherry
By Renaud Detcherry
