Extremal metrics on blowups along submanifolds
classification
🧮 math.DG
keywords
extremalalongblowupsadmitsahlerarezzo-pacard-singerblowupcodimension
read the original abstract
We give conditions under which the blowup of an extremal K\"ahler 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.
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