A remark on Li-Xu's pathology
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2013
- DOI:
- 10.48550/arXiv.1305.6411
- arXiv:
- arXiv:1305.6411
- Bibcode:
- 2013arXiv1305.6411M
- Keywords:
-
- Mathematics - Differential Geometry;
- 32Q26;
- 14L24;
- 53C25