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.
G.Sz. is supported in part by NSF grants DMS-1306298 and DMS-1350696.
"Extremal metrics on blowups along submanifolds." J. Differential Geom. 114 (1) 171 - 192, January 2020. https://doi.org/10.4310/jdg/1577502024