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Extremal metrics on blowups along submanifolds. (English) Zbl 1430.53077

Summary: 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.

MSC:

53C55 Global differential geometry of Hermitian and Kählerian manifolds
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