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• W2034003257 abstract "This is a continuation of the work of Arezzo–Pacard–Singer and the author on blowups of extremal Kähler manifolds. We prove the conjecture stated in Székelyhidi (Duke Math J 161(8):1411–1453, 2012), and we relate this result to the K-stability of blown up manifolds. As an application we prove that if a Kähler manifold $$M$$ of dimension $$>$$ 2 admits a constant scalar curvature (cscK) metric, then the blowup of $$M$$ at a point admits a cscK metric if and only if it is K-stable, as long as the exceptional divisor is sufficiently small." @default.
• W2034003257 created "2016-06-24" @default.
• W2034003257 creator A5003517719 @default.
• W2034003257 date "2014-08-26" @default.
• W2034003257 modified "2023-09-27" @default.
• W2034003257 title "Blowing up extremal Kähler manifolds II" @default.
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• W2034003257 doi "https://doi.org/10.1007/s00222-014-0543-y" @default.
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