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