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arXiv · 1808.08420

K-stability, Futaki invariants and cscK metrics on orbifold resolutions

Claudio Arezzo·Alberto Della Vedova·Lorenzo Mazzieri
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Abstract

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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Claudio Arezzo, Alberto Della Vedova, Lorenzo Mazzieri. 2018-08-25. K-stability, Futaki invariants and cscK metrics on orbifold resolutions. https://arxiv.org/abs/1808.08420

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