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Extremal metrics on blowups along submanifolds
Journal of Differential Geometry  (IF2.688),  Pub Date : 2020-01-01, DOI: 10.4310/jdg/1577502024
Reza Seyyedali, Gábor Székelyhidi

We give conditions under which the blowup of an extremal Kahler manifold along a submanifold of codimension greater than two admits an extremal metric. This generalizes work of Arezzo-Pacard-Singer, who considered blowups in points.