K-stability, Futaki invariants and cscK metrics on orbifold resolutions
classification
🧮 math.DG
math.AP
keywords
metricscsckexistencefutakikaehlerresolutionsresultsadiabatic
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In this paper we compute the Futaki invariant of adiabatic Kaehler classes on resolutions of Kaehler orbifolds with isolated singularities. Combined with previous existence results of extremal metrics by Arezzo-Lena-Mazzieri, this gives a number of new existence and non-existence results for cscK metrics.
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