K-stability, Futaki invariants and cscK metrics on orbifold resolutions
Differential Geometry
2018-08-28 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1808.08420,
title = {K-stability, Futaki invariants and cscK metrics on orbifold resolutions},
author = {Claudio Arezzo and Alberto Della Vedova and Lorenzo Mazzieri},
journal= {arXiv preprint arXiv:1808.08420},
year = {2018}
}
Comments
18 pages