A remark on Li-Xu's pathology
Differential Geometry
2013-07-17 v2
Abstract
For test configurations, the Donaldson-Futaki invariant F_1 is well-known. In this note, its refinement will be discussed. Then we see that Li-Xu's pathology doesn't occur, since their example of a non-normal test configuration, with trivial normalization, actually has non-vanishing F_1 in this refined sense.
Cite
@article{arxiv.1305.6411,
title = {A remark on Li-Xu's pathology},
author = {Toshiki Mabuchi},
journal= {arXiv preprint arXiv:1305.6411},
year = {2013}
}