We give conditions under which the blowup of an extremal Kähler 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.
J. Differential Geom.
114(1):
171-192
(January 2020).
DOI: 10.4310/jdg/1577502024